SOLUTION: AREA OF A RECTANGLE IS 10580 square meter,its length is 5 times of width, find its perimeter?

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Question 1029588: AREA OF A RECTANGLE IS 10580 square meter,its length is 5 times of width, find its perimeter?
Answer by ikleyn(52781) About Me  (Show Source):
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AREA OF A RECTANGLE IS 10580 square meter,its length is 5 times of width, find its perimeter?
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Let W be the width, in meters.
Then the length L = 5W, according to the condition.

From the condition, you have this equation for the area

L*W = 10580,   or

5W%2AW = 10580,   or

W%5E2 = 10580%2F5,   or

w%5E2 = 2116,  or

W = sqrt%282116%29 = 46 m.

Hence, L = 5*46 = 230 m.

Now the perimeter is P = 2*230 + 2*46 = 552 m.

Answer. The perimeter is 552 m.