The length of a rectangle is twice as long as the width of the rectangle.
The area of the rectangle is ||32|| cm||^2||.
Find the dimensions of the rectangle.
(2 marks)
cm
~ Width =
cm
O Height =
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Answers

Answer 1

Answer: length = 8cm

Width = 4cm

Step-by-step explanation:

Let the width of the rectangle be represented by x.

Since the length of a rectangle is twice as long as the width of the rectangle, then the length will be: = 2 × x = 2x

Note that, Area of a rectangle = Length × Width

Therefore,

2x × x = 32

2x² = 32

Divide both side by 2

2x²/2 = 32/2

x² = 16

x = ✓16

x = 4

Therefore, width = 4cm

Since length = 2x

Length = 2 × 4cm = 8cm

Check: length × width = Area

8cm × 4cm = 32cm²


Related Questions

Volume of a cone is 48 pi and have a radius of 8 what is the height

Answers

Answer:

Step-by-step explanation:

the answer is in the pic open it

hope it help mark me as a brill please

Find the missing number in each sequence.

40, ___ , 37 1/3 , 36

Answers

The common difference is 1 1/3
40-1 1/3= 38 2/3
38 2/3-1 1/3=37 1/3
37 1/3-1 1/3=36
Therefore the missing number is 38 2/3
Missing number is 38 2/3 trust me :) and if you want me to explain Lmk:)

The table shows the number of hours spent practicing
singing each week in three samples of 10 randomly
selected chorus members.
Time spent practicing singing each week (hours)
Sample 1 12 13 11 8 9 7 4
8 9 10 Mean = 9.1
Sample 2 7 12 11 8 9 8 12 8 9 10 Mean = 9.4
Sample 3 11 9 8 12 8 10 7 8 7 9 Mean = 8.9
Which statement is most accurate based on the data?
A. A prediction based on the data is reliable, because the means of
the samples are close together.
OB. A prediction based on the data is reliable, because each sample
has 10 data points.
O C. A prediction based on the data is not completely reliable, because
the means are not the same.
D. A ediction based on the data is not completely reliable, because
the means of samples 1 and 2 are greater than 9 and the mean of
sample 3 is less than 9.
PREVIOUS

Answers

Answer:

A prediction based on the data is reliable, because the means of the samples are close together.

Step-by-step explanation:

Test approved

The most accurate statement is A. A prediction based on the data is reliable, because the means of the samples are close together.

What is Mean?

Mean of a set of data is defined as the average of all the values. It gives the exact middle point of the data set.

Given three data sets.

All the samples have 10 data points.

Number of data points = 10

Mean of sample 1 = 9.1

Mean of sample 2 = 9.4

Mean of sample 3 = 8.9

We can see that the mean of the three samples is so close to each other.

So the data is reliable.

Hence the option is A.

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Can someone please help ?!?

Answers

Answer:

the answer would be D

Step-by-step explanation:

sec = 1/cos

D i hope this is right :)

What is the value of a?

Answers

It should be the second awnser

Answer:

your answer will be option B

Step-by-step explanation:

[tex]\frac{10}{12} =\frac{a}{38} \\\\a=\frac{(10) (38)}{12} \\\\=31.6[/tex]

If Figure F is rotated 180° and dilated by a factor of , which new figure could be produced?

Hurry please!

Answers

Answer:

2nd answer choice :)

Step-by-step explanation:

The new figure produced is given below.

Option C is the correct answer.

What is a scale factor?

A scale factor is defined as the ratio between the scale of a given original object and a new object,

We have,

Let the figure be in the first quadrant.

Now,

Rotation of 180-degree means,

The figure will be in the third quadrant.

Now,

Dilation with a factor of 1/2.

This means,

The figure will shrink by 1/2.

Thus,

The new figure is given below.

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An artist mixes paint to make new colors.
She uses 13 cup of red paint and 13 cup of yellow paint to make a batch of orange paint.
If the artist has 2 cups of red paint available and 3 cups of yellow paint available,
how many batches of orange paint can she make?
Enter your answer in the box.

Answers

Answer:

The artist can make six batches of orange paint and it remains one cup of yellow paint

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Amount of red paint for one batch of orange paint = 1/3 of a cup

Amount of yellow paint for one batch of orange paint= 1/3 of a cup

Amount of red paint available = 2 cups

Amount of yellow paint available = 3 cups

2. How many batches of orange paint can she make?

2 cups of red paint = 6/3 = 6 batches of orange paint

3 cups of yellow paint = 9/3 = 6 batches and it remains one cup of yellow paint

The artist can make six batches of orange paint and it remains one cup of yellow paint

Step-by-step explanation:

WILL GIVE BRAINLEST !
hAVE A GOOD DAy :)!

Answers

is it all like yes or no or does your teacher need like explaining

Solve the inequality:

8+4x≥12

Select one:

x≤1

x≥5

x≥1

x≤5

Answers

X is less than or equal to 1

Answer:

x≥1

Step-by-step explanation:

Complete the table for the given rule.
Rule: y is 3 less than x
X Y
10
8
6

Answers

Answer:

X Y

10 7

8 5

6 3

Step-by-step explanation:

Not much to explain - just put a number 3 smaller than X into column Y

The required table for the given rule can be completed as follows:

X Y

10 7

8 5

6 3

What is the linear relationship?

A linear relationship is a connection that takes the shape of a straight line on a graph between two distinct variables - x and y. When displaying a linear connection using an equation, the value of y is derived from the value of x, indicating their relationship.

The rule is given in the question, as follows:

y is 3 less than x

For each value of x in the first column, the corresponding value of y in the second column can be calculated by subtracting 3 from x.

For example, if x is 10, then y is 3 less than x, which is 7 (10 - 3 = 7).

Similarly, if x is 8, then y is 5 (8 - 3 = 5), and if x is 6, then y is 3 (6 - 3 = 3).

The table for the given rule can be completed as follows:

X Y

10 7

8 5

6 3

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plzz help me solve this question i need correct question i will mark you as a brainliest and I will give 5.0 rating anf thanks if ur answer will be correct​

Answers

Answer:

I. p = 7

II. 17 litres

Step-by-step explanation:

I. Determination of the value of p

Mean = 17.7

p =.?

Let the number of litre be L

Let the number of motorist be M

Mean = summation LM / summation M

Summation of LM = (16×11) + (17×10) + (18×p) + (19×4) + (20×8)

= 176 + 170 + 18p + 76 + 160

= 582 + 18p

summation M = 11 + 10 + P + 4 + 8

= 33 + p

Mean = summation LM / summation M

17.7 = 582 + 18p / 33 + p

Cross multiply

17.7(33 + p) = 582 + 18p

584.1 + 17.7p = 582 + 18p

Collect like terms

584.1 – 582 = 18p – 17.7p

2.1 = 0.3p

Divide both side by 0.3

p = 2.1 / 0.3

p = 7

II. Determination of the median number of litre.

Let the number of motorist be M (i.e the frequency)

summation M = 11 + 10 + P + 4 + 8

p = 7

summation M = 11 + 10 + 7 + 4 + 8

summation M = 40

The median is the middle term i.e

Median = (summation M / 2)ᵀʰ motorist

Median = (40 / 2)ᵀʰ motorist

Median = 20ᵀʰ motorist

Considering the table in the question above, the 20ᵀʰ motorist has 17 litres.

Therefore, the median number of litres is 17 litres.

Olga saves $15 from every paycheck to save up for a new game system that cost $399. Currently, she has $360 saved. Ignoring any taxes on the purchase, how many more paychecks does she have until she has enough money saved to buy the game system?

Answers

Answer:

3

Step-by-step explanation:

399-360=39

A satellite television company charges a one-time installation fee of $55 and a monthly service charge of $46. Elizabeth was installed this year and has spent a total of $285.00 on her satellite connection. The equation 55 + 46x = 285 can be used to represent her expenses so far. What does the variable x represent in this situation?

Answers

Answer:

The monthly service charge

Step-by-step explanation:.

7
T
S
U
The triangle STU has been drawn on to a centimetre grid.
Calculate the area of triangle STU *
(2 Points)
Enter your answer

Answers

Answer:

12 square units

Step-by-step explanation:

The area of a given figure is the measure of space occupied by the figure on a 2 dimensional plane.

Area of a triangle = [tex]\frac{1}{2}[/tex] x base x height

From the given grid, the following can be observed for triangle STU.

base SU = 6 units

height = 4 units

Thus,

area of triangle STU =  [tex]\frac{1}{2}[/tex] x base x height

                                  =  [tex]\frac{1}{2}[/tex] x 6 x 4

                                  = 3 x 4

area of triangle STU = 12 square units

The required area of triangle STU is 12 square units.

Need help on this please

Answers

y-y_o= m(x-x_0)
y-(-4)=-(x-0)
y+4=-x
y=-x-4

Hope it helps

How many milliliters of chocolate milk are in the container shown? Enter your answer in the box.

A pitcher shows 4 lines at 1, 2, 3, and 4 liters from bottom to top. Chocolate milk rises to the level of the line at 3 liters.

Answers

Answer:

I don't know

Ich bin fett

I'm just a fat boy watching ph once a month

Step-by-step explanation:

bobo Ampt

Jordan typed 40 words a minute and he spends 1 minute typing a ending how many minute did it take him to write a sentence
i also heard that you can get points for answering questions.​

Answers

Answer:

02920

Step-by-step explanation:

92823

PLEASE ANSWER FAST!! I WILL GIVE BRAINLIEST :)
Which statement best describes the association between variable
X and variable Y?
A. moderate positive association
B. strong negative association
C. perfect negative association
D. no association

Answers

I believe it is no strong association because all the points are heavily messy and seem to show no strong correlation other that it being slightly negative

Combine like terms to simplify; (5x + 2) + (4x + 5). 1 point 9x - 7 9x + 7 -9x - 11 X + 7

Answers

(5x + 2) + (4x + 5)

= 5x + 2 + 4x + 5

= 5x + 4x + 5 + 2

= 9x + 7

The picture shows the top view of a piece of glass. A rectangular piece of glass is shown. The length is measured as 4 feet. The width is measured as 2 and one-half feet. Which equations can be used to find the area, in square feet, of the piece of glass? Select all that apply. A. A = 2 1 2 × 4 B. A = 5 2 + 4 C. A = ( 2 1 2 + 2 1 2 ) + ( 4 + 4 ) D. A = 5 2 × 4 E. A = ( 2 × 2 1 2 ) + ( 2 × 4 ) F. A = 2 1 2 + 4 answer and u get brainlyest

Answers

Answer:

d. and e.

Step-by-step explanation:

i did the test

Option A and Option D represents the equation of area of rectangular piece which are A=4×[tex]2\frac{1}{2}[/tex] and A=4×5/2.

What is Area of Rectangle?

The area of Rectangle is length times of width.

Given that A rectangular piece of glass is shown.

The length is measured as 4 feet.

The width is measured as 2 and one-half feet.

We have to find the  equations can be used to find the area of the piece of glass.

Area=Length×width

Area=4 feet × 2 and one-half feet

=4×[tex]2\frac{1}{2}[/tex]

=4×5/2

Hence, Option A and Option D represents the equation of area of rectangular piece which are A=4×[tex]2\frac{1}{2}[/tex] and A=4×5/2.

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Laura kept a list of her expenses and income for one month. If she started the month with no money, how much money did she have left at the end of the month?

Answers

Answer:

$25

Step-by-step explanation:

she received$12 five times

12×5=60 ...(1)

she earned$5 two times for yard work

5×2=10....(2)

(1)+(2).... 60+10=70

Bought dog food and ticket

30+15=45

70-45=25

Answer $25 is what she is left with at the end of the month

Answer:

She would have 5 dollars left

Step-by-step explanation:

WILL GIVE BRAINLST

hAVE A GOOD DAY

Answers

Answer:

really!!?? thank you!!!  need one! ;w;

Step-by-step explanation:

Answer:

put it at 4.5

Step-by-step explanation:

put it at 4.5 because 20's square root is 4.472 but it says approximately so you need to round 4.472 to 4.5

Kenji has 54 books, 17 of the books are mysteries. 22 of the books are adventure stories. The rest of the books are about animals. How many of the books are about animals? ​

Answers

The answer is 15 animal books

A tennis court is surrounded by a fence so that the distance from each boundary of
the tennis court to the fence is the same. If the tennis court is 72 feet long and 30
feet wide, what is the area of the entire surface inside the fence?

Answers

The area of the entire surface will be 2160 feet Wide/Long.

A quality control inspector routinely takes random samples of 200 cans of fruit cocktail produced in a packing
plant and calculates the proportion of cans from each sample with at least 3 cherries. Suppose that 98% of
fruit cocktail cans produced in that packing plant contain at least 3 cherries
Which of the following distributions is the best approximation of the sampling distribution of p?
Each distribution uses the same scale.
Choose 1 answer:
0.98
0.98

Answers

Answer:

A

Step-by-step explanation:

Khan Academy

Find the value of x when 27 - 2x + 1 = 729+ 2x + 3

Answers

Answer:

[tex] - 2x - 2x = 729 + 3 - 27 - 1 \\ [/tex]

[tex] - 4x = 704[/tex]

[tex]x = -704 \div 4 = -176[/tex]

PLEASE HELP WITH EXPLANATION

Mary always saved 45% of his salary. When his salary decreased by 20% in April, his savings decreased by $180.
How much was Mary’s salary before the decease?

Answers

Answer:

Step-by-step explanation:

Answer:

Is Mary a guy?  :|  

Step-by-step explanation:

I did this by just a good guess  , not really the right way

2000*.45=900  ( 900 is the old savings)

2000*.2 =400   ( how much her salary went down by )

2000-400=1600 ( new salary )

1600*.45 = 720    ( 45% of new salary is new savings

900-720=180      ( change in savings is 180 , the amount the question asks for)

Mary's old salary was 2,000

Plzzz help. Giving everything.

Answers

Answer:

d. 260. is the answer.

Answer is, 260 degrees (D)

Liz has added 20% of the total amount of acid that she needs
in the beaker for her experiment. She has put in 10 ml so far.
How much more does she need to add? Plz help

Answers

40mL
20%= 1/5
10*5=50
Since 10 is 1/5 of 50 and the question is how much more, subtract it from 50 and you get 40.


Sorry if it’s hard to understand. I did it in my head and it’s hard to explain when you know how to do it lol.

A person on a moving sidewalk travels 6 feet in 3 seconds. The moving sidewalk has a length of 60 feet. How long will it take to move from one end of the sidewalk to the other?​​

Answers

Answer:

Speed = distance / time

= 6/3 =2 ft/sec

Time = distance / speed

= 60/2

= 30 seconds

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