Question

Jesse works in construction and is planning the layout of a client’s garage. The only requirement is for the length to be twice as long as the width. If the area of the garage must be 288 square feet, what must the dimensions be?

Answer 1

Width = 12 foot

Length = 24 foot

Explanation:

Let

Width=x

Length=2x

Area = 288 square feet

Area of the garage = Length × width

288 = 2x * x

288= 2x^2

Divide both sides by 2

288 / 2 = x^2

144= x^2

Find the square root of both sides

√144 = √x^2

12 = x

Therefore,

x=12

The dimensions will be:

Width = x

= 12

Length = 2x

=2(12)

=24

Width = 12 foot

Length = 24 foot