Soju has forty 1-m segments of wood railing and that the sections cannot be cut into smaller segments to surround a rectangular patio. a) Find the dimensions of a patio with the maximum area. b) What is the maximum area? c) Is there anything unique about this rectangle?

Soju has forty 1-m segments of wood railing and that the sections cannot be cut into smaller segments to surround a rectangular patio. a) Find the dimensions of a patio with the maximum area. b) What is the maximum area? c) Is there anything unique about this rectangle?

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.CR: Review Exercises

Problem 13CR: One side of a rectangle is 2 cm longer than a second side. If the area is 35cm2, find the dimensions...

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Question

Soju has forty 1-m segments of wood railing and that the sections cannot be cut into
smaller segments to surround a rectangular patio.
a) Find the dimensions of a patio with the maximum area.
b) What is the maximum area?
c) Is there anything unique about this rectangle?

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