A rectangular swimming pool is designed to be 7 times longer than it is wide. The total surface area of all 4 sides of the pool and the bottom is 90.0 m². What are the dimensions of the pool that will hold the MAXIMUM Volume of water?

A rectangular swimming pool is designed to be 7 times longer than it is wide. The total surface area of all 4 sides of the pool and the bottom is 90.0 m². What are the dimensions of the pool that will hold the MAXIMUM Volume of water?

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

A rectangular swimming pool is designed to be 7 times longer than it is wide. The total
surface area of all 4 sides of the pool and the bottom is 90.0 m². What are the
dimensions of the pool that will hold the MAXIMUM Volume of water?

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