Question

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.

Answer 1

17 and 24

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