SOLUTION: Susan has 600 feet of fencing to use in making a yard for her new puppy. The yard she has planned has a length that is 75 feet less than twice the width. What are the dimensions of
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Question 980083: Susan has 600 feet of fencing to use in making a yard for her new puppy. The yard she has planned has a length that is 75 feet less than twice the width. What are the dimensions of the yard?
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
W=width; L=length=2W-75ft; P=perimeter=600ft
P=2(L+W)
600ft=2(L+W) Divide each side by 2.
300ft=L+W Substitute for L.
300ft=2W-75ft+W Subtract 75 ft from each side.
375ft=3W Divide each side by 3.
125ft=W ANSWER 1: The width is 125 feet.
.
L=2W-75ft
L=2(125ft)-75ft
L=250ft-75ft
L=175ft ANSWER 2: The length is 175 feet.
.
CHECK:
P=2(L+W)
600ft=2(175ft+125ft)
600ft=2(300ft)
600ft=600ft
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