A rectangular garden consists of a rectangular lawn of area 72m? . The pass is 2m wide at two SHORTER sides of the garden and 1m wide along each of other two sides.

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
Chapter5: Factoring Polynomials
Section5.13: Using Factoring To Solve Problems
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A rectangular garden consists of a rectangular lawn of area 72m? . The pass is 2m wide at two
SHORTER sides of the garden and 1m wide along each of other two sides.
(i)
Show that the area of the garden is given by formula,
144
A = 4x+"+80,
х
where x is the length of the shorter side of the rectangle
(ii)
Find the smallest possible area of the garden satisfying these requirements.
Transcribed Image Text:A rectangular garden consists of a rectangular lawn of area 72m? . The pass is 2m wide at two SHORTER sides of the garden and 1m wide along each of other two sides. (i) Show that the area of the garden is given by formula, 144 A = 4x+"+80, х where x is the length of the shorter side of the rectangle (ii) Find the smallest possible area of the garden satisfying these requirements.
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