10. A backyard has a perimeter of 144 m. a) If the backyard is square, what are the dimensions? b) If the backyard is rectangular, and the length is three times the width, what are the dimensions? c) If the backyard is a triangle, as shown, write an algebraic expression for the perimeter and find its dimensions. d) Which of the three backyard designs has the greatest area? Which X-2 has the least?

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
Section8.2: Perimeter And Area Of Polygons
Problem 38E: Examine several rectangles, each with an area of 36 in2, and find the dimensions of the rectangle...
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10. A backyard has a perimeter of 144 m.
a) If the backyard is square, what are the dimensions?
b) If the backyard is rectangular, and the length is three times the
width, what are the dimensions?
c) If the backyard is a triangle, as shown, write an algebraic
expression for the perimeter and find its dimensions.
d) Which of the three backyard designs has the greatest area? Which
has the least?
X-2
Transcribed Image Text:10. A backyard has a perimeter of 144 m. a) If the backyard is square, what are the dimensions? b) If the backyard is rectangular, and the length is three times the width, what are the dimensions? c) If the backyard is a triangle, as shown, write an algebraic expression for the perimeter and find its dimensions. d) Which of the three backyard designs has the greatest area? Which has the least? X-2
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