Question

21 The square below Is made up of 4 identical rectangles. The perimeter of each rectangle is 40 cm. What is the area of the square? 40-4 YORY (00 10 40 40 &00 L002 peruinet u dy tw sana a0cn per mieteretttB ar Batens CrB C30 t 30 t30130) fo L00 Answer: cm

Answer 1

The area of the square is 256 centimeter square.

Explanation:

Given : The square is made up of 4 identical rectangles. The perimeter of each rectangle is 40 cm.

To find : What is the area of the square?

Solution :

4 identical rectangle having perimeter of 40 cm.

Let a be the length and b be the width of the rectangle,.

i.e.
`P=40`

`2(a+b)=40`

`a+b=20` ....(1)

Total width of the square form is b+b+b+b=4b

In square the side length is given by a=4b

Substitute in (1),

`4b+b=20`

`5b=20`

`b=4`

i.e. a=4(4)=16

The length of the square is given by l=16

The area of the square is
`A=l^2`

`A=16^2`

`A=256\ cm^2`

Therefore, The area of the square is 256 centimeter square.