SOLUTION: Amelia's pool is a rectangle that is 30 ft long. The area is 540 sq ft. What is the perimeter?

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Question 595986: Amelia's pool is a rectangle that is 30 ft long. The area is 540 sq ft. What is the perimeter?

Answer by math-vortex(648) About Me  (Show Source):
You can put this solution on YOUR website!
Hi, there--
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To solve this problem, we work backwards to find the width of the pool from its area. Then we use the length and width to find the perimeter.
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[I] Find the width of the pool.
The formula for the area of a rectangle is length L times width W. We know the length and the area, so we substitute those values into the formula and solve for W.
A=%28L%29%28W%29
540=%2830%29%28W%29
W=540%2F30
W=18
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The pool is 18 feet wide.
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[II] Find the perimeter.
In a rectangle, the opposite sides have the same measure. The perimeter is the distance around the pool. We can write the formula as L+L+W+W or 2L+2W. We substitute our values for length and width and we have the perimeter.
P=2L%2B2W
P=2%2830%29%2B2%2818%29
P=60%2B36
P=96
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The perimeter of the pool is 96 feet.
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Feel free to email if any part of the explanation is unclear.
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Ms.Figgy
math.in.the.vortex@gmail.com