SOLUTION: A rectangle is twice as long as it is wide and has the same perimeter as a square whose area is 81 square feet larger than that of the rectangle. What are the dimensions of both th

Algebra ->  Rectangles -> SOLUTION: A rectangle is twice as long as it is wide and has the same perimeter as a square whose area is 81 square feet larger than that of the rectangle. What are the dimensions of both th      Log On


   

Question 904805: A rectangle is twice as long as it is wide and has the same perimeter as a square whose area is 81 square feet larger than that of the rectangle. What are the dimensions of both the rectangle and the square?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
L=2w, and let p be the perimeter of both the rectangle and the square.

s = side length of the square.
s%5E2=81
highlight%28s=9%29, as a result.
p=4%2A9=36

2w%2B2L=36
2w%2B2%282w%29=36
6w=36
highlight%28w=6%29.