1. A 216-m² rectangular patch is to be enclosed by a fence and divided into two equal parts by another fence parallel to one of the sides. What dimensions for the outer rectangle will require the smallest total length of fencing material needed? How much fencing material will be needed?

1. A 216-m² rectangular patch is to be enclosed by a fence and divided into two equal parts by another fence parallel to one of the sides. What dimensions for the outer rectangle will require the smallest total length of fencing material needed? How much fencing material will be needed?

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 38E: Examine several rectangles, each with an area of 36 in2, and find the dimensions of the rectangle...

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Question

1. A 216-m² rectangular patch is to be enclosed by a fence and divided into two equal
parts by another fence parallel to one of the sides. What dimensions for the outer
rectangle will require the smallest total length of fencing material needed? How much
fencing material will be needed?

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