A rectangular plot of playground with a 500 m^2 area is to be surrounded by a fence, with an additional fence dividing it down the middle. The fence in the middle costs USD 40/meter, while the fence on the sides costs USD 25/meter. Determine the playground's dimensions so that the total cost of the fencing material is as low as possible. (Optimization)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter2: Linear Equations
Section: Chapter Questions
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A rectangular plot of playground with a 500 m^2 area is to be surrounded by a fence, with an additional fence dividing it down the middle. The fence in the middle costs USD 40/meter, while the fence on the sides costs USD 25/meter. Determine the playground's dimensions so that the total cost of the fencing material is as low as possible. (Optimization)

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