Answer:
A) 32 centimeters
Explanation:
If the rectangle has a length L and a Width W the area is
A = L x W
Perimeter
P = 2(L + W)
We can write this as
P/2 = L + W
Given area = 48, lets try some factors of 48 and also add them and multiply by 2 to get the perimeter of each configuration
48 = 1 x 48 ⇒ P = 2( 1 + 48) = 2 x 49 = 98
48 = 2 x 24 ⇒ P = 2(2 + 24) = 2 x 26 = 52
48 = 3 x 16 ⇒ P = 2(3 + 48) = 2 x 51 = 102
48 = 4 x 12 ⇒ P = 2(4 + 12) = 2 x 16 = 32
48 = 6 x 8 ⇒ P = 2(6 + 8) = 2 x 14 = 28
now compare these values to the answer choices and see which one fits
Only 32 (Answer choice A) fits
So correct answer
A) 32 centimeters