1

Problem

The sum of the perimeters of squares A and B is 20 cm. If the side length of square A is 2 cm, find the side length of square B.

2

Step

Here the sum of A and B squares is 20 cm

A + B = 20

3

Step

Given side length of A is 2cm, and we know that the perimeter of a square is

A = 4s

4

Step

Substitute the value s is 2, we get

\$A = 4 \times 2\$

5

Step

After simplification

A = 8

6

Step

We need to determine the side length of square B.

8 + B = 20

7

Step

Subtract 8 on both sides

8 + B - 8 = 20 - 8
B = 20 - 8

8

Step

Side length of B is

B = 12

9

Step

The perimeter of a square B side is

B = 4s

10

Step

Substitute the value B and calculate the length of each side

12 = 4s

11

Step

Divide 4 on both sides

\$(12)/4 =(4s)/4\$

12

Step

After simplification

s = 3

13

Solution

The length of the side(s) in square B is 3 cm.

14

Sumup

Please summarize steps

Choices

15

Choice-A

This match the result we found, so it’s a valid option

Correct 3 cm

16

Choice-B

This does not match the result we found, so it’s not a valid option

Wrong 2 cm

17

Choice-C

This does not match the result we found, so it’s not a valid option

Wrong 4 cm

18

Choice-D

This is not the correct unit, and the numerical value doesn’t match the solution obtained for the problem

Wrong 12 ft

19

Step

Option

A

20

Sumup

Please summarize choices