Question

Patty made a banner that has an area of 96 square inches. The length and width of the banner are whole numbers. The length is 6 times greater than the width. What are the dimensions of the​ banner?

Answer 1

The length of the banner is 24 inches and its width is 4 inches.

Explanation:

Let the length of the banner be L.

Let the width of the banner be W.

The length is 6 times greater than the width. This means that:

L = 6W

The area of the banner is:

A = L * W = 6W * W =
`6W^2`

The are of the banner is 96 square inches. This implies that:

`6W^2` = 96

=>
`W^2` = 96 / 6 = 16

W =
`√(16)`

W = 4 inches

The length, L, will be:

L = 6 * 4 = 24 inches

The length of the banner is 24 inches and its width is 4 inches.