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

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) (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.
RELATED QUESTIONS
The length of a rectangle is six times its width. If the area of the rectangle is 150 yd... (answered by solver91311)

The length of a rectangle is six times its width. If the perimeter of the rectangle is... (answered by mananth)

Please help me solve this equation: {{The length of a rectangle is six times its width. (answered by lwsshak3)

The perimeter of a rectangle is 100 yd. If its width is four times its length, what is... (answered by josgarithmetic)

the Length of a rectangle is four times its width. If the area of the rectangle is 324... (answered by nyc_function)

The length of a rectangle is three times its width. If the perimeter of the rectangle... (answered by Cromlix)

The length of a rectangle is 6 yd longer than its width. If the perimeter of the... (answered by CharlesG2)

The length of a rectangle is 3 yd longer than its width. If the perimeter of the... (answered by rapaljer)

The length of a rectangle is 2 yd longer than its width. If the perimeter of... (answered by IBMath)