5 A rectangular plot is enclosed by 200 m of fencing and has anarea of A square metres. Show that:a if one of the sides is a m long, then A= 100x – a²b the area is maximised when the rectangle is a square.

Given:-Perimeter=200 mArea= A m2Width=x m

Answered: 5 A rectangular plot is enclosed by 200…

Algebra: Structure And Method, Book 1

(REV)00th Edition

ISBN:9780395977224

Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Chapter4: Polynomials

Section4.9: Area Problems

Problem 2P

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5 A rectangular plot is enclosed by 200 m of fencing and has an area of A square metres. Show that: a if one of the sides is x m long, then A= 100x – x² b the area is maximised when the rectangle is a square.