Question

The length of a rectangle is f our times its width. If the area of the rectangle is 256 square feet find its perimeter

Answer 1

Perimeter = (2 × Length) + (2 × Width)

Area = Length × Width

Let's call Length 'L'. And call Width 'W'. We know that the Length is 4 times the Width so we can say L = 4W. In order to really calculate the perimeter, we first need to find out what W is, because L depends on W (because it is 4W).

Area = 4W × W
256 = 4W².
256 ÷ 4 = W²
64 = W²
√64 = W
8 = W

Now we can finally find out the perimeter! L is 4W = 4(8) = 32.

Perimeter = 2L + 2W
Peri = 2(32) + 2(8)
Peri = 64 + 16 = 80.

Our answer is 80.