Question

A small plane is flying a banner in the shape of a rectangle. The area of the banner is 144 square feet . The width of the banner is 1/4 the length of the banner. What are the dimensions of the banner?

Answer 1

The answer to your question is width = 6 ft; length = 24 ft

Explanation:

Data

Area = 144 ft²

width = w

length = l

The width is 1/4 of the length

Formula

Area = width x length = w x l

Length = 4 width l = 4w

Process

1.- Substitute length in the first equation

Area = w(4w)

Simplify

Area = 4w²

2.- Solve for w

w =
`\sqrt{(Area)/(4)}`

Substitution

w =
`\sqrt{(144)/(4)}`

Simplification

w =
`√(36)`

Result

w = 6 ft

3.- Find l

l = 4(6)

l = 24 ft