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?

The answer to your question is

a) Poster width = 3 in

lenght = 9 in

b) banner

width = 2 in

lenght = 10 in

Step-by-step 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