A rectangular garden of area 320 square feet is to be surrounded on three sides by a brick wall costing $10 per foot and on one side by a fence costing $6 per foot. Find the dimensions of the garden such that the cost of the materials is minimized. To minimize costs, the length of the side with a fence should be feet and the length of the other side should be feet.

Intermediate Algebra
10th Edition
ISBN:9781285195728
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter9: Functions
Section9.CR: Review Problem Set
Problem 37CR: A garden has 60 yards of fencing and wants to enclose a rectangular garden that requires fencing...
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A rectangular garden of area 320 square feet is to be surrounded on three sides by a brick wall costing $10 per foot and on one side by a fence costing $6 per foot. Find the dimensions of
the garden such that the cost of the materials is minimized.
To minimize costs, the length of the side with a fence should be
feet and the length of the other side should be
feet.
Transcribed Image Text:A rectangular garden of area 320 square feet is to be surrounded on three sides by a brick wall costing $10 per foot and on one side by a fence costing $6 per foot. Find the dimensions of the garden such that the cost of the materials is minimized. To minimize costs, the length of the side with a fence should be feet and the length of the other side should be feet.
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