SOLUTION: A pasture is twice as long as it is wide. Its area is 115,200 ft square. How wide is the pasture?

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Question 406726: A pasture is twice as long as it is wide. Its area is 115,200 ft square. How wide is the pasture?
Answer by algebrahouse.com(1659) About Me  (Show Source):
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"A pasture is twice as long as it is wide. Its area is 115,200 ft square. How wide is the pasture?"

x = width
2x = length {it is twice as long as it is wide}

Area of a rectangle = length x width

x(2x) = 115,200 {substituted into area formula}
2x^2 = 115,200 {multiplied x by 2x and added exponents}
x^2 = 57,600 {divided both sides by 2}
x = 240 {took square root of both sides}

width = 240 ft
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