SOLUTION: The length of a rectangle is six times its width. If the perimeter of the rectangle is 84 yd, find its area.

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Question 956409: The length of a rectangle is six times its width.
If the perimeter of the rectangle is
84 yd, find its area.
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
W=width; L=length=6W; P=perimeter=84yds; A=area
P=2(L+W) Substitute for L.
84yds=2(6W+W)
84yd=12W+2W
84yd=14W Divide each side by 14.
6yd=W The width of the rectangle is 6 yards.
L=6W=6(6yd)=36 yards The length is 36 yards.
A=L*W
A=36yd*6yd=216 sq yd ANSWER: The area is 216 square yards.