Question

A rectangular poster is 3 times as long as it is wide. A rectangular banner is 5 times a long as it is wide. Both the banner and the poster have perimeters of 24 inches. What are the lengths and widths of the poster and banner?

Answer 1

The answer to your question is

a) Poster width = 3 in

lenght = 9 in

b) banner

width = 2 in

lenght = 10 in

Explanation:

a) For the poster

width = x

lenght = 3x

Perimeter of a rectangle = 2base + 2 height

= 2(x) + 2(3x) = 24

2x + 6x = 24

8x = 24

x = 24/8

x = 3

width = 3 in

lenght = 3(3) = 9 in

b) For the banner

width = y

lenght = 5y

Perimeter of a banner = 2 base + 2 height

2 (y) + 2(5y) = 24

2y + 10y = 24

12y = 24

y = 24/12

y = 2

width = 2 in

lenght = 5(2) = 10 in