Asmall 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?

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 =

Substitution

                      w =

Simplification

                      w =

Result

                      w = 6 ft

3.- Find l

                       l = 4(6)

                       l = 24 ft

the first one is x^2+2x+2

the second one is x^2+4

the last one is x^2-4x+8