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Friday, February 20, 2009

How to compute for the length and width of a rectangle?

Question
A pond is enclosed by a wooden deck that is 3 feet wide. The fence surrounding the deck is 100 feet long. If the pond is rectangular and the length of the pond is to be three times its width, what are its dimensions?



Solution
Let x = width of the pond
3x = length of the pond
Perimeter of the rectangle = 100 ft
The formula for perimeter is 2x + 6x = 100

Hence,
8x = 100
x = 12.5

Therefore, the width of the pond is 12.50 feet and its length is 37.50 feet.

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