SOLUTION: The length of a rectangle is 5 times its width, and the area of the rectangle is 20 square feet. Find the dimension. Thank you for taking your time in answering.

Algebra ->  Rectangles -> SOLUTION: The length of a rectangle is 5 times its width, and the area of the rectangle is 20 square feet. Find the dimension. Thank you for taking your time in answering.      Log On


   

Question 863780: The length of a rectangle is 5 times its width, and the area of the rectangle is 20 square feet. Find the dimension.
Thank you for taking your time in answering.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
The length of a rectangle is k times its width, and the area of the rectangle is A square feet. Find the dimensions.

Let w= width
Dimensions are as variables, w and kw.

w%2Akw=A
kw%5E2=A
w%5E2=A%2Fk
w=sqrt%28A%2Fk%29
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The dimensions are width = highlight%28k%2Asqrt%28A%2Fk%29%29 and length highlight%28%28k%5E2%29%2Asqrt%28A%2Fk%29%29.

Your example uses k=5 and A=20.