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 d…

Question

asked Dec 14, 2021 185k views

1 Answer

Bishnu Paudel · Answer 1 · 2021-12-18T22:30:33+0000

Answer:

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