Answer:
The length of the banner is 24 inches and its width is 4 inches.
Step-by-step 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 = [tex]6W^2[/tex]
The are of the banner is 96 square inches. This implies that:
[tex]6W^2[/tex] = 96
=> [tex]W^2[/tex] = 96 / 6 = 16
W = [tex]\sqrt{16}[/tex]
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.
