5 Bill wants to put a small rectangular vegetable garden in his backyard using 2 existing walls as part of its border. He has 8 m of garden edging for the border on the other 2 sides. Find the dimensions of the garden bed that will give the greatest area.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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5 Bill wants to put a small rectangular vegetable
garden in his backyard using 2 existing walls as
part of its border. He has 8 m of garden edging
for the border on the other 2 sides. Find the
dimensions of the garden bed that will give the
greatest area.
6 Find 2 numbers whose sum is 28 and whose product is a maximum.
7 The difference of 2 numbers is 5. Find these numbers if their product is to be minimum.
8 A piece of wire 10 m long is broken into 2 parts, which are bent into the shape of a
rectangle and a square as shown. Find the dimensions x and y that make the total area a
maximum.
Transcribed Image Text:5 Bill wants to put a small rectangular vegetable garden in his backyard using 2 existing walls as part of its border. He has 8 m of garden edging for the border on the other 2 sides. Find the dimensions of the garden bed that will give the greatest area. 6 Find 2 numbers whose sum is 28 and whose product is a maximum. 7 The difference of 2 numbers is 5. Find these numbers if their product is to be minimum. 8 A piece of wire 10 m long is broken into 2 parts, which are bent into the shape of a rectangle and a square as shown. Find the dimensions x and y that make the total area a maximum.
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