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The length of is 5 units longer than the width. The perimeter is 9 times the width. Find the length and the width of the rectangle. Show all work.

User Shriek
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1 Answer

5 votes
P= 2L + 2W

9 x W = 2 ( 5 + W ) + 2W
9W= 10 +2W + 2W
9W= 10 + 4W
9W - 4W = 10
5W =10
5 5
W = 2

L= 5 + W
= 5 + 2
L= 7

P= 2L + 2W
P = 2 (7) + 2 (2)
= 14 + 4
P= 18



User Anpsmn
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8.4k points