The rectangle and the trapezoid have the same area. What is the length l of the rectangle?
Please show work

The Rectangle And The Trapezoid Have The Same Area. What Is The Length L Of The Rectangle?Please Show

Answers

Answer 1

Answer:

length = 18 ft

Step-by-step explanation:

A(rect) = 9l

A(trap) = 1/2(9)(24+12)  →  4.5(36)  → 162

9l = 162

l = 162/9

l = 18

Answer 2
Answer:  18 feet

=====================================================

How to get the answer:

We first need to compute the area of the trapezoid

area of trapezoid = height*(base1+base2)/2

A = h*(b1+b2)/2

A = 9*(12+24)/2

A = 9*(36/2)

A = 9*18

A = 162

The trapezoid has an area of 162 square feet.

---------

The rectangle also has an area of 162 sq ft.

area of rectangle = length*width

A = L*W

A/W = L

L = A/W

L = 162/9

L = 18

The length of the rectangle is 18 feet.

---------

Side note: both rectangle and trapezoid have the same height (9 feet). Notice how the average of the 12 ft and 24 ft sides leads to 18 ft, which is exactly the value of L. It's not a coincidence these two facts line up.


Related Questions

Expand and simplify (√10-√2)² Give your answer in the formn b-c√5 where b and c are integers

Answers

Answer:

12-4√5

Step-by-step explanation:

(√10-√2)²

(√10-√2)(√10-√2)

Foil/distribute

10-√20-√20+2

12-2√20

12-2√4*√5

12-2*2√5

12-4√5

On expansion of the algebraic identity of [tex](a-b)^2[/tex], the expansion of [tex](\sqrt{10}-\sqrt{2})^2[/tex] is [tex]12-4\sqrt{5}[/tex]. Thus making b = 12 and c = 4.

Algebraic identities are expansion of powers of algebraic expressions.

One such algebraic identity is the expansion of [tex](a-b)^2[/tex]. It is given by:

[tex](a-b)^2 = a^2+b^2-2ab[/tex]

Given the question,

[tex](a-b)^2 = a^2+b^2-2ab[/tex]

[tex](\sqrt{10}-\sqrt{2})^2 = ( \sqrt{10})^2+(\sqrt{2})^2 -2 ( \sqrt{10})(\sqrt{2})\\\\=10 + 2 - 2\sqrt{20}\\\\ =12 - 2\sqrt{2*2*5} \\\\= 12 -2*2\sqrt{5} \\\\=12-4\sqrt{5}[/tex]

Given the form, [tex]b - c\sqrt{5}[/tex],

On comparison,

b = 12

c = 4

Learn more about algebraic identities here

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The table shows the heights y (in centimeters) of a plant after x weeks. How many centimeters does the plant grow in one week?

Table:
x: 0, 6, 12
y: 20, 29, 38

Answers

Answer:

29/6 = 4.83.. or 4.8

Jasmine bought 32 kiwi fruit for $16. How many kiwi can Lisa buy if she has $4?

Answers

Answer:

8 kiwis

Step-by-step explanation:

32/16= 2

2 kiwi for $1

4*2= 8

Answer:

8

Step-by-step explanation:

Method 1:

32 kiwi = $16

(÷4)

8 kiwi = $4

(take $16 divided by $4 to find the number of sets of 8 kiwis. hope this helps.)

Ans: 8

Method 2:

$16 ÷ 32 = $0.50 (cost of 1 kiwi)

$4÷$0.50=8

i forgot what the definition of y-axis and x-axis was

Answers

Answer:

y is the height and x is the length

Step-by-step explanation:

Remember when you're doing y and x axis y is height and x is length it works like coordinates.

There are 120 people in a school canteen.
Half of the people in the canteen are in year 11 students.
The number of year 11 students in the canteen is three times the number of year 10 students.
The rest of the people in the canteen are year 9 students.
the number of year 9 students : the number of year 10 students = n : 1
Work out the value of n.
You must show how you get your answer.

Answers

2:1

Step-by-step explanation:

List all variables

Total people=120

year 11 students=120/2=60

year 10 students=60/3=20

subtract year 10 and 11 students from the total to get the number of year 9 students

year 9 students=120-60-20

=40

year9:year10

40:20

2:1

Value of variable 'n' as per the given condition number of 9 year students : number of 10 year students = n:1 is equals to 2.

What is variable?

" A variable is defined as the quantity which represents the change in value  as per the given condition in a mathematical problem."

According to the question,

Total number of students in school = 120

As per the conditions given we have,

Number of 11 year students = [tex]\frac{120}{2}[/tex]

                                               = 60 people

Number of 11year students = 3 × ( Number of 10 year students)

Number of 10 year students = [tex]\frac{Number of 11 year students}{3}[/tex]

                                                   = [tex]\frac{60}{3}[/tex]

                                                   = 20 people

Number of (11year + 10year +  9year ) students  = 120  

⇒ 60 + 20 + Number of 9 year students =120                                        

Number of 9 year students = 120 - 80

                                                 = 40 people

Substitute the value in the given condition  to get the value of the variable we get,

Number of 9 year students : Number of 10 year students = n:1

⇒40 : 20 = n: 1

n = 2

Hence, value of variable 'n' as per the given condition number of 9 year students : number of 10 year students = n:1 is equals to 2.

Learn more about variable here

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loria has some dimes and quarters. If she has 18 coins worth a total of $2.25, how many of each type of coin does she have?

Answers

Answer:

dimes: 5

quarters:8

Step-by-step explanation:

she has 2$ in quarters and $0.25 in dimes

Answer:

10 Dimes and 5 Quarter

Step-by-step explanation:

Important info:

18 Coins worth a total of $2.25

Note:

Dimes = .10

Quarter = .25

10 Dimes = 1.00

4 Quarter = 1.00

Question to Answer:

How many each type of Coin does she have?

Solution:

Lets get rid of .25 in $2.25 :)

So that 1 Quarter..

2.00

Takes away 1.00 = 10 Dimes

Now we have 1 Quarter and 10 Dimes.

1.00 Left..

4 Quarter = 1.00

So now we have 5 Quarter and 10 Dimes..

Check Work:

5 Quarter = 1.25 and 10 Dimes = 1.00

1.25+1.00=

$2.25

Hence. Loria has 5 Quarter and 10 Dimes.

{ Couldn't figure out 18 Coins worth a total of $2.25 the closest I could get was 15 Coins worth a total of $2.25}

~[ RevyBreeze]~

Type the correct answer in the box.
3 units
2 units
2 units
The area of the figure is
square units.
Reset
Next
Plz help

Answers

Answer:

8 units

Step-by-step explanation:

Area of square = 2x3 = 6 units

Area of triangle = (2x2)/2 = 2 units

Total area = 6 +2 = 8 units

Answer:

As previous answer stated, 8 units

Step-by-step explanation:

You multiply one side of the square by another to get 6 units, then, add the units from the triangle

What is the slope of a line that is parallel
and perpendicular to each line?

Answers

Answer:

m1.m2 = -1

Step-by-step explanation:

In the case of the parallel line, the slope of the two lines is parallel to each other.

What percentage of all water on Earth is freshwater in liquid form?
67%
1%
31%
3%

Answers

Answer:

3% freshwater

Step-by-step explanation:

What percentage of all water on Earth is freshwater in liquid form?

67%

1%

31%

3%

Answer:

1%

Step-by-step explanation:

3% is wrong. I took the test and I’ve studied this :)

In a recent year, 21% of all college students were enrolled part-time. If 7.6 million college students were enrolled part-time that year, what was the total number of college students?

Answers

Answer:

36.19047619 million

or 36,190,476 students

Step-by-step explanation:

7.6 million / all students = 21% / 100%

7.6 * 100 / 21 = 36.19047619

36.19047619 million

or 36,190,476 students

At a restaurant, the amount of your bill before taxes and tip is $19.83. A 6% sales tax is applied to your bill, and you leave a tip equal to 19% of the original amount. Use mental math to estimate the total amount of money you pay to the nearest dollar.

Answers

Answer:

First, round $19.83 to make the mental math easier.  Then round the tip as well.  Then you can easily multiply the two rounded numbers to find the value.

Step-by-step explanation:

-233.2 - 25.8
Please help.

Answers

Answer:

-259

Step-by-step explanation:

brainliest

Answer:

-259

Step-by-step explanation:

Subtracting a negative number is the same as adding a positive number — that is, go up on the number line. This rule works regardless of whether you start with a positive number or a negative number.

When subtracting a negative number, remember that the two back-to-back minus signs cancel each other out, leaving you with a plus sign.

Subtracting Negative and Positive Integers

To subtract integers, change the sign on the integer that is to be subtracted.

If both signs are positive, the answer will be positive.

Example: 14 - (-6) = 14 + 6 = 20

If both signs are negative, the answer will be negative.

Example: -14 - (+6) = -14 - 6 = -20

If the signs are different subtract the smaller absolute value from the larger absolute value. The sign will be the sign of the integer that produced the larger absolute value.

Example: 14 - (+6) = 14 - 6 = 8

Example: -14 - (-6) = -14 + 6 = -8

What happens to the value of the expression b - 1 as b increases?

Answers

Answer: The value will increase by one as B increases by one or so on

Step-by-step explanation:

Answer:

It increases

Step-by-step explanation:

Yes or no awnser pls

Answers

Answer:

No the question iant a function

plz answer in (x,y). 15 POINTS!!!!!!!!

Answers

9x+3y=3/3
2x-3y=8/3

Add them
11x=11/3
X=11
X=3

Sub x in

pls help .................

Answers

Answer:

Step-by-step explanation:

I'm guessing at this a bit.

The final score will depend on what is par for each hole and/or for the entire course.  The scores for the first four rounds were all negative.  That means Ko required fewer strokes to hit the hole than the number considered "par" for the course.

Let P stand for the Par of the course.  Then the score for each round would be:

P-3

P-4

P-7, and

P-2

The sum:  4P - 16 is her score for the first four rounds.  I have no clue if there are more than 4 rounds, but if there are, the equation would be:

For n rounds:

nP - ∑[tex]x_{n}[/tex]

where ∑[tex]x_{n}[/tex] is the sum of over/under pars for the n rounds.

Pls help again what’s 2.8446 rounded to the nearest hundreth

Answers

Answer:

2.84

Step-by-step explanation:

Since 4 is below 5, you would not round 2.84 to 2.85

Mateo wants to buy a BMX bike to compete in his town's extreme sports contest. He set up a lemonade and cookie stand to raise the money. Mateo sold lemonade for $1 per cup and cookies for $3 each. He sold 40 cups of lemonade and 20 cookies. How much money did he make?

Answers

Answer:100$

Step-by-step explanation: you multiply 40x1 and 20x3

Marking brainliest



What do you thinks this means and why does it matter

Answers

they will reverse the damage Trump has done (vehicle-wise) by givivng a 10% vehicle efficiency boost in 2023

what is 56 inches in meters rounded to the nearest hundredth

Answers

Answer:

  1.42 m

Step-by-step explanation:

Each inch is 0.0254 meters, so 56 of them is ...

  56(0.0254 m) = 1.4224 m ≈ 1.42 m

Guys, Take a look at the screenshot below, do you understand this problem? If you do so, please tell me the answer!

Answers

Answer:

there is no screenshot or I just can't see it

There’s no screenshot srry

solve pls brainliest


How can I use the scale factor to determine if a picture is an enlargement?

Answers

Answer:

You can use the scale factor to determine if a picture is an enlargement if the scale factor is greater than 1. If it is less than 1 like 0.9 then the picture would be a reduction because you would be multiplying the number by a number smaller than 1. Now if we have a scale factor greater than 1 let's say 3. Then the picture would be an enlargement because the number is greater than 1.

Step-by-step explanation:

Mary is 19 years younger than Jordan. Sarah is 49. Leo is 11 years younger than Sarah and 3 years
younger than Jordan. How old is Mary?

Answers

Answer:

22 years old

Step-by-step explanation:

Sarah - 49 years old

Leo - 38 years old

Mary - 22 years old

Jordan - 41 years old

 I think I'm right

Use the picture below to answer the question. The measure of angle 3 is 50 degrees. What is the measure of angle 6?

Answers

angle 6=50degrees
reason: alternate interior angles

Hi, anyone help me with this, please
A television addic can buy either two televisions and three video recorders for $1750 or four televisions and one recorder for $1250. Find the cost of one television and one video recorder

Answers

Answer: helloooo

Step-by-step explanation:

Television = $200 and Video Recorder = $450

sory if im wrong this is just what I think

Answer the ones you want to. Answer at least one.

Have no idea how to do this. Please help I beg you.

Answers

Answer:

i don't understand 5, 8, 9, or 10.. I'm sorry...

6. A. With each one (1,2,3) the pattern increases by 3 dots each time

B. the fourth pattern would be 4 rows of 3 (look at picture below)

7. The pattern adds 2 squares, one on the left and one on the right side

Step-by-step explanation:

so... a conjecture is basically like an educated guess.. so ye :)

HI GUYS CAN SOMEONE PLEASE HELP...
TYSM IT WUD MEAN SO MUCH

Answers

Answer:

what do you need help with??

Step-by-step explanation:

i would be happy to help : )

what are 43.6÷8 use compatible numbers using the quotient

Answers

Answer:

7.3

Step-by-step explanation:

can some one help me on this

Answers

28 divided by 4 = 7
so do 7 * 5 which is 35 so they make 35 cookies in 5 seconds

how to find a and b in the equation below.
3(a+b)=28

Answers

we have:    3(a+b)=28 => a + b = 28/3

=> a = 28/3 - b      and      b = 28/3 - a

ok done. Thank to me :>

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