3.A rectangular field adjacent to a river is to be enclosed. Fencing along the river costs $5 per meter, and the fencing for the other sides costs $3 per meter. The area of the field is to be 1200 square meters. Find the dimensions of the field that is the least expensive to enclose.

3.A rectangular field adjacent to a river is to be enclosed. Fencing along the river costs $5 per meter, and the fencing for the other sides costs $3 per meter. The area of the field is to be 1200 square meters. Find the dimensions of the field that is the least expensive to enclose.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter8: Areas Of Polygons And Circles

Section8.2: Perimeter And Area Of Polygons

Problem 31E: Mary Frances has a rectangular garden plot that encloses an area of 48 yd2. If 28 yd of fencing are...

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Question

*Use First Derivative Test

3.A rectangular field adjacent to a river is to be enclosed. Fencing along the river costs $5
per meter, and the fencing for the other sides costs $3 per meter. The area of the field is to
be 1200 square meters. Find the dimensions of the field that is the least expensive to
enclose.

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