Question

The length of a rectangle is (x+8) inches long, and the width is 2 inches long. If the area is 80 square inches, write and solve and equation to find the length of the rectangle.

Answer 1

40"

1) Gathering the data

length = x +8"

width = 2"

Area= 80

2) Given the formula for the area of a Rectangle:

S = w*l

Let's plug those pieces of information into that

(x+8)2 =80 Distribute the factor

2x +16 = 80 Subtract 16 from both sides

2x =64 Divide both sides by 2

x= 32

3) Since the length is x +8, let's plug that too

x+8

32+8

40

So the length is 40"