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

Answer:

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

Step-by-step 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 = $\sqrt{\frac{Area}{4}}$

Substitution

                      w = $\sqrt{\frac{144}{4}}$

Simplification

                      w = $\sqrt{36}$

Result

                      w = 6 ft

3.- Find l

                       l = 4(6)

                       l = 24 ft