The length and width of poster are 9 inches and 3 inches respectively and length and width of banner are 10 inches and 2 inches respectively
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Solution:</u>
Given, A rectangular poster is 3 times as long as it is wide.
Rectangular banner is 5 times as long as it is wide.
Both the banner and the poster have perimeters of 24 inches
Let, the width of poster be p, then its length will be 3p
And, the width of banner be b, then its length will be 5b
Now, according to given information,
Perimeter of poster = 24 inches and perimeter of banner = 24 inches
2(length of poster + width of poster) = 24
2(3p + p) = 24
2(4p) = 24
8p = 24
p = 3
And 2(length of banner + width of banner) = 24
2(5b + b) = 24
2(6b) = 24
12b = 24
b = 2
So, width of poster is 3 inches, then length of poster is 3p = 3 x 3 = 9 inches
And, width of banner is 2 inches, then length of banner is 5b = 5 x 2 = 10 inches
