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What are the dimensions of a rectangle when its perimeter is 5 times its width and has an area of 130 and 2 over 3 square cm showing work?
Wiki User
∙ 9y ago
Let the width be x and the length be y
So: 2x+2y = 5x implying that y = 1.5x
If: xy = 130 and 2/3
Then: x(1.5x) = 130 and 2/3 => 1.5x squared = 130 and 2/3
Divide both sides by 1.5 and then square root both sides: x = 9 and 1/3 cm
Length: 130 and 2/3 divided by 9 and 1/3 = 14 cm
Therefore: length = 14 cm and width = 9 and 1/3 cm
Wiki User
∙ 9y ago
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