Orbet used 24 square tiles to make a rectangle. The perimeter of the rectangle is 20 units. What would be the perimeters of the other rectangles Corbet could make using only these 24 tiles? How do the areas of the rectangles compare? Explain.

Answers

Answer 1

Answer:

The perimeter of other rectangles are 50, 28, 22 units

The area of all possible rectangles are same and equals to 24 unit²

Step-by-step explanation:

Given - Orbet used 24 square tiles to make a rectangle. The perimeter of the rectangle is 20 units.

To find -  What would be the perimeters of the other rectangles Orbet could make using only these 24 tiles? How do the areas of the rectangles compare?

Proof -

We know that

Are of Rectangle = Length × Breadth

And Perimeter of Rectangle = 2 (Length + Breadth )

Now,

Given that,

Orbet used 24 square tiles

And perimeter of the rectangle made = 20

So,

Possible Length of rectangle = 6

Possible breadth of Rectangle = 4

Or Vice-versa.

Total number of Rectangles possible = 4

Possibilities are -  1 × 24, 2 × 12, 3 × 8, 4 × 6

Case I :

Length of rectangle = 1

Breadth of rectangle = 24

∴ Perimeter of rectangle = 2(1 + 24) = 2(25) = 50 units

Area of rectangle = 1 × 24 = 24 unit²

Case II :

Length of rectangle = 2

Breadth of rectangle = 12

∴ Perimeter of rectangle = 2(2 + 12) = 2(14) = 28 units

Area of rectangle = 2 × 12 = 24 unit²

Case III :

Length of rectangle = 3

Breadth of rectangle = 8

∴ Perimeter of rectangle = 2(3 + 8) = 2(11) = 22 units

Area of rectangle = 3 × 8 = 24 unit²

Case IV :

Length of rectangle = 4

Breadth of rectangle = 6

∴ Perimeter of rectangle = 2(4 + 6) = 2(10) = 20 units

Area of rectangle = 4 × 6 = 24 unit²

∴ we get

The perimeter of other rectangles are 50, 28, 22 units

The area of all possible rectangles are same and equals to 24 unit²

Orbet Used 24 Square Tiles To Make A Rectangle. The Perimeter Of The Rectangle Is 20 Units. What Would

Related Questions

How many males represented in the Venn diagram below have brown hair or brown eyes?

A diagram contains a rectangle labeled 100 males. The rectangle contains two overlapping ovals. The left oval is labeled brown hair 34, and the right oval is labeled brown eyes 22. The overlapping region is labeled 18. Both ovals are shaded.

74


22


56


34

Answers

Answer:

I got this answer right its 56

Step-by-step explanation:

I got this question right

Interpreting the Venn diagram given, the number of males with brown eyes or brown hair can be deduced to be 74

Number with brown hairs = 34 Number with brown eyes = 22Number with both brown hairs and eyes = 18

Number with brown eyes or brown hairs :

Brown eyes + Brown hairs + Both brown hairs and brown eyes

(34 + 22 + 18) = 74

Therefore, 74 males have brown eyes or brown hairs

Learn more : https://brainly.com/question/17225268

1. Consider the circle to the right,

Part A: Determine mzSBE.

Part B: Determine mob.

S

52

B

Answers

Answer:

m∠SBE = 26°,  [tex]m\hat O B[/tex] = 126°

Step-by-step explanation:

The arc of a circle is a portion of the circumference of the circle. For a circle, the degree measure of an arc is equal to the measure of the central angle that intercepts the arc.

Central angle is an angle whose vertex is on the center of the circle and endpoints on the circumference of the circle. If the endpoints of the central angle are are also the endpoints for the angle's intercepted arc, then both angles are congruent.

Also, the angle at the center is twice the angle at the circumference.

Angle at center = [tex]m\hat S E[/tex] = 52° (central angle is congruent with angle that intercept the arc)

2 * m∠SBE = central angle (angle at the center is twice the angle at the circumference)

2 * m∠SBE = 52

m∠SBE = 26°

2 * m∠BEO = central angle (angle at the center is twice the angle at the circumference)

2 * 63 = central angle

central angle = 126°

Angle at center = [tex]m\hat O B[/tex] = 126° (central angle is congruent with angle that intercept the arc)

Need help answer it in the bottom

Answers

Answer:

it depend

Step-by-step explanation:

i can edit this answer but-

do they mean that both objects together costs that much or does that mean that pens and pencils cost the same?

5/2 divided by -1/3 PLEASE ANSWER!!

Answers

Answer:

−7   1/2

Step-by-step explanation:

     1

-7  2

Answer: -0.83333333333

Step-by-step explanation:

The temperature at 5:30 A.M. was recorded as 7 degrees below zero on the Fahrenheit scale. Write the temperature using a signed number​

Answers

Answer:

mhhm yea this is very questioned questioned

Step-by-step explanation:

yea mhm

Plz help


what are the slope and y-intercept of the linear function that is represented by the graph
A- the slope is -4/3 and the y-intercept is 3
B- the slope is -4/3 and the y-intercept is 4
C- the slope is -3/4 and the y-intercept is 3
D- the slope is -3/4and the y-intercept is 4

plz help this is a timed test​

Answers

Answer:

The slope is -3/4 because it rises goes down 3 and runs 4. the Y-intercept or where the line meets the y line is 3

Step-by-step explanation:

Johnson Middle School has 400
students. Pam surveys a random
sample of 40 students and finds that
15 of them have a computer. How
many tolal students at the school are
likely to have computers?
A 60
B 150
C 160
B 150

Answers

Answer:

the answer is B. 150

20 POINTS HELP ASAP
determine wether the equation is an identity or not an identity. sin theta/ cos theta

Answers

Answer:

A

Step-by-step explanation:

Help me pls
(if here for points go away I will report)

If Amber decides to mail copies of her photo to the 45 residents of her grandmother's assisted living facility, the new function representing her photo shares is f(x) = 3(4)x + 45. How does this graph compare with the original graph of Amber's photo share?

Answers

Answer:

We know that Amber decided to mail copies of her photo to the 45 residents of her grandmother's assisted living facility, and after this, the function representing the photo shares is:

f(x) = 3*(4)^x + 45

We do not know the initial function, but with the given information we can assume that the original equation is:

g(x) = 3*(4)^x

Then the new function is:

f(x) = g(x) + 45.

This is a vertical translation, remember that for a function h(x), a vertical translation of N units is written as:

k(x) = h(x) + N

if N is positive, we have a translation of N units up

if N is negative, we have a translation of N units down.

in this case we have;

f(x) = g(x) + 45

This means that f(x) is a vertical translation of 45 units of g(x), then:

the graph of the new function is 45 units above the original function.

Jake has a bag of 50 beads, some of which are blue and the remaining are green. Jake randomly pulls out a bead from the bag, records the color, and replaces it in the bag. Jake has already recorded 16 blue and 4 green beads. Based on these results, what is most likely the number of blue beads in the bag?

a.10

b.20

c.30

d.40

Answers

Answer:

d

Step-by-step explanation:

Help me with this please

Answers

Answer:

Step-by-step explanation:

I had to look this one up  :) it seems too simple

10*6 = 5*x

60 = 5 x

60 /5 = x

12 = x

X = 12  

:)

What value for x makes the following sentence true?
x+ 4 = 3(x - 2)
'A 5
B 40
C 20
D3

Answers

Answer:

Value of x = 5

Step-by-step explanation:

Given:

x + 4 = 3(x - 2)

Find:

Value of x

Computation:

x + 4 = 3(x - 2)

⇒ x + 4 = 3x - 6

⇒ x = 3x -6 - 4

⇒ x - 3x = -10

⇒-2x = - 10

⇒ x = -10 / - 2

Value of x = 5

What is the area of this figure?
(Use = 3.14 and round to two decimal places.)
0.1 cm

Answers

Answer:

the area of above figure is 0.31 cm^2

Answer:

A ≈ 0.03 cm²

Step-by-step explanation:

Area of a circle = πr²,

where π (pi) ≈ 3.14 or 22/7 as a close fraction is the ratio (factor) between the circumference and the diameter (2 times / twice the radius),

and r² is the radius squared or multiplied by itself once.

Given that the radius is 0.1 cm in this situation,

the area of this circle is as follows:

A = πr² → A = π (0.1)² cm² → π(0.01) cm² → 0.01π cm² →

(1/100)(π) cm² → π / 100 cm² → 3.14 / 100 cm² →

0.0314 cm² ≈ 0.03 cm²

You know the length of the garden is 12 feet. You also know that the area of the garden is 60 ft2. Write and solve an equation to determine what is the width of the garden?

Answers

Answer:

Width is 5

Step-by-step explanation:

Set up an equation

12x=60

divided both sides by 12

answer is 5

The width is 5

to check your answer multiply it by the length

12*5=60

Check Check

Answer:

60÷12=5 so the width is 5 if the length is 12.

When factoring a trinomial, what is the first step you should do before you
begin the Product-Sum Method?

Answers

Answer:

B

Step-by-s??????????tep explanation:

the equation of a circle is x2 + y2 - 12x + 6y + 20 = 0.
what is the radius of the circle? enter your answer in the box. r = ___ units​

Answers

Answer:

Center (6, -3)

Radius 5

which set of sides will NOT make a triangle?
19cm 14cm 7cm
11cm 13cm 3cm
12cm 7cm 5cm
2cm 3cm 4cm

Answers

Answer:

12cm 7cm 5cm

Step-by-step explanation:

Since 7 + 5 is = 12, it cannot be a side of a triangle. If you add any 2 numbers, the sum must be greater than the 3rd one.

Follow the steps to find the common denominators for 2/3 and 1/5

Answers

Answer:

15

Step-by-step explanation:

To find the common denominators for 2/3 and 1/5, just look at the denominators for both of the fractions, 3 and 5

Multiply 3 and 5, which is 15. 15 is the common denominator.

PLEASE HELP ME THANK YOU IF U DO

Answers

Answer: Acceleration

Step-by-step explanation:

How do I solve this?
-1/3+y=1

Answers

Answer:

y=-3

Step-by-step explanation:

.....................

Answer to equation:

y = 1 1/3

Step-by-step explanation:

for this problem we see that we are starting below 0 and going up to one, all we have to do is solve for the distance between the two numbers, as shown

(-1/3) + 1/3 = 0

0 + 1 = 1

now to simplify, we just add the total amount of change between the two numbers

1/3 + 1 = 1 1/3

NOTE: this can be done by just adding the absolute value of each number if one is a negative number and one is a positive number, wich is basically what i did

-1/3 = |1/3|

1 = |1|

|1/3| + |1| = |1 1/3| or total amount of change

but if you are working with two positive or two negative numbers, then subtract the lesser of the two absolute values as so

-2 + x = -5

-2 = |2|

-5 = |5|

|5| - |2| = |3|

3 = amount of change

3 = x

-2 + -3 = -5

HELPPPPPPPP TQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQ

Answers

Answer:

Area = 120

Step-by-step explanation:

Triangle formula:

[tex]\frac{1}{2}[/tex](b x h)

Given:

[tex]\frac{1}{2}[/tex](10 x 24)

Multiply 10 and 24 to get 240.

10 x 24 = 240

Divide 240 and 2 to get 120.

240 ÷ 2 = 120

So answer is 120.

need help with simple question​

Answers

Answer:

I think it is 10

Step-by-step explanation:

I said I think it might be 9

You earn $44.55 in 9 hours. Your friend earns $51.00 in 12 hours. How much do you AND your friend earn in 20 hours? HINT- You need to calculate how much you both make in 1 hour first! 1 point

Answers

Answer:

I earn $99. my friend earns $85. We both earn $184

Step-by-step explanation:

Steps

Find the amount earned per hour for each friend multiply the value gotten by 20 hours Add the amount

Amount i earn per hour = 44.55 / 9 = $4.95

Amount my friend earns = 51 /12 = $4.25

Amount earned in 20 hours

4.95 x 20 = 99

4.25 x 20 = 85

Please help due today

Find the slope of the line that passes through each pair of points (0,1),(2,5)

Answers

Answer:

2

Step-by-step explanation:

y2-y1 = 5-1 =4

x2-x1= 2-0 =2

4/2=2

Step-by-step explanation:

[tex]m = \frac{y2 - y1}{x2 - x1} \\ = \frac{5 - 1}{2 - 0} \\ = \frac{4}{2} \\ = 2[/tex]

#CMIIW

(xy^-6)^2

A. xy^-36
B. xy^36
C. x^2y^-12​

Answers

Answer:

Step-by-step explanation:       (9=4-38-838,256=2-60^7

Hopes this helps:

Answer: C. X^2y^ -12

How I know I use this called Cymath

solve for x
4x=30
give your answer as an improper fraction in its simplest form​

Answers

Answer:

x=15/2

Step-by-step explanation:

given:-4x=304x/4=30/4x=7.5 when we convert to improper fraction=75/10=15/2

Please its really urgent, step by step working out

Answers

Answer:

70.99

Step-by-step explanation:

Use Pythagorean Theorem to find the shortest distance.

80^2-50^2=3900

Square rt= 62.44

Subtract by 15

47.44

Next find half of the circular path it is (3.14 x 15)/2

23.55

Add 47.44+23.55=70.99

Hope this is correct

use the formula v=u+at
calculate v when:
u=10, a=3, t=2.5​

Answers

Answer:

17.5

Step-by-step explanation:

[tex]v = 10 + 3 \times 2.5 \\ v = 10 + 7.5 \\ v = 17.5[/tex]

This is your answer :))

Answer:

V = 17.5

Step-by-step explanation:

[tex]v = u + at \\ v = 10 + 3(2.5) \\ v = 10 + 7.5 \\ v = 17.5[/tex]

I hope that is useful for you :)

Find the measure of
A 43•

B. 223•

C180•

Answers

Answer:

43

Step-by-step explanation:

subtract 157 from 180 and you get your answer if 43.

Last week, Russell bought 8 pizzas and 10 cakes for a total of $160.
Today, Russell bought 26 pizzas and 8 cakes for a total of $226.
Assuming neither item has changed in price, what is the cost of a pizza in dollars?

Answers

Answer:

$5

Step-by-step explanation:

Create a system of equations where p is the cost of a pizza and c is the cost of a cake

8p + 10c = 160

26p + 8c = 226

Solve by elimination by multiplying the top equation by -4, and the bottom equation by 5

-32p - 40c = -640

130p + 40c = 1130

Add these together:

98p = 490

p = 5

So, the cost of a pizza is $5

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