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Find the dimensions of a rectangle that has an area equal to its perimeter.

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Find the dimensions of a rectangle that has an area equal to its perimeter.

© BrainMass Inc. brainmass.com October 24, 2018, 8:53 pm ad1c9bdddf
https://brainmass.com/math/geometry-and-topology/dimensions-rectangle-area-equal-perimeter-110749

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Solution:
Let a be the length of the rectangle and b be the breath ...

Solution Summary

The dimensions of a rectangle that has an area equal to its perimeter are found.

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Maximizing area of a fenced garden

A.
A rectangular garden is to be fenced in and divided into three parallel sections. the fencing for the boundary costs $20 per foot whereas fencing for the dividing fences costs $5 per foot. Consider the problem of finding the dimensions of the largest garden possible if the gardner can spend $2000 for the fencing. Find the values for L and W for which the total area of the garden is as large as possible.

B.
Find the length and the width of the rectangle with Perimeter 100ft and the maximum area.

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