120 meters of fence are available to build a rectangular pen that is also divided in half by a fence. Let the width of this pen be x. Express the total area of the pen in terms of x and find the value of x for the greatest total area.

Question

Mathematics

Sloane Bennett

25 August, 23:31

120 meters of fence are available to build a rectangular pen that is also divided in half by a fence. Let the width of this pen be x. Express the total area of the pen in terms of x and find the value of x for the greatest total area.

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Answers (1)

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Purdy · Answer 1

10 meters by 12 meters.

10 x 12 = 120

cut it in half 10 meters by 6 meters or 5 meters by 12 meters

both equaling out to 60 square meters after being cut in half.