Question

Suppose the length of each side of a square is decreased by 4 feet. If the perimeter of the square is now 32 feet, what was the original length of each side?

A. 48ft
B. 44ft
C. 16ft
D. 12ft

Please heeelp!

Answer 1

the answer is d 12

Explanation:

Answer 2

Option D.

Explanation:

Let x be the original length of each side in feet.

Length of each side of a square is decreased by 4 feet.

New length = (x-4) feet.

Perimeter of a square is

`Perimeter=4(side)`

Perimeter of new square is

`Perimeter=4(x-4)`

`Perimeter=4x-16`

It is given that the perimeter of the square is now 32 feet.

`4x-16=32`

`4x=32+16`

`4x=48`

Divide both sides by 4.

`x=12`

The original length of each side is 12 feet.

Therefore, the correct option is D.