Lindsey N. answered • 03/22/16

Helping you conquer math, science, and engineering courses

Hi Faris,

You want to think about what you are being asked to describe. The garden is fenced by a rectangle. Therefore;

Area = length * width

and

Perimeter = 2*length + 2*width

The harder translation into math comes with the sentence: "The length is five less than two times the width." That translates to:

Length = 2*width - 5

because the "five less than" is another way of saying "minus 5"

Substituting the length equation into the other equations, we get:

a = (2w - 5)w

a = 2w

^{2}- 5wa = 2(8)

^{2}- 5(8)a = 128 - 40

a = 68 square feet

p = 2(2w - 5) + 2w

p = 4w - 10 + 2w

p = 6w - 10

p = 6(8) - 10

p = 48 - 10

p = 38 feet