SOLUTION: You are building a rectangular field and want to make a walkway around the edge. The field is 360 ft by 160ft, and the area of the entire area (field&walkway) is 71,796 sq ft. W

Question 532396: You are building a rectangular field and want to make a walkway around the edge. The field is 360 ft by 160ft, and the area of the entire area (field&walkway) is 71,796 sq ft.
What is the width of the walkway?
What is the area of the walkway?
Answer by Don Malabag(3) (Show Source): You can put this solution on YOUR website!
A(walkway)=A(total)-A(field)
A= 71796ft^2-{(360ft)(160ft)}
A=71796ft^2-57600ft^2
A=14196
W(walkway)=(360+x)(160+x)=71796ft^2
W=x^2+520x+57600=71796
W=x^2+520x+57600-71796=0
W=x^2+520x-14196=0
(x+546)(x-26)
x=-546; x=26
W(walkway)=26 ft.
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