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

Your answer if A. 48fr

Answer 2

Answer:

Option D.

Step-by-step 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.