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

Mathematics

Shields

10 November, 01:43

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.

+5

Answers (1)

Know the Answer?

Jovany Medina · 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