A rectangular garden of area 408 square feet is to be surrounded on three sides by a brick wall costing $ 12 per foot and on one side by a fence costing $ 5 per foot. Find the dimensions of the garden such that the cost of the materials is minimized.

Question

Emelia Monroe

Mathematics

22 June, 16:19

A rectangular garden of area 408 square feet is to be surrounded on three sides by a brick wall costing $ 12 per foot and on one side by a fence costing $ 5 per foot. Find the dimensions of the garden such that the cost of the materials is minimized.

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Answers (1)

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Cruz Humphrey · Answer 1

17 and 24

Step-by-step explanation:

24*17=408, and that's the pair of factors that is the closest to each other, meaning that it'll minimize the perimeter and thus minimize the cost.

12 * (17+17+24) + 5*24=816, minimal cost