SOLUTION: A square and a rectangle have the same width. The length of the rectangle is 4 times it's width. The sum of the two areas is 44m^2. Find the area of the rectangle.

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: A square and a rectangle have the same width. The length of the rectangle is 4 times it's width. The sum of the two areas is 44m^2. Find the area of the rectangle.      Log On


   



Question 1079663: A square and a rectangle have the same width. The length of the rectangle is 4 times it's width. The sum of the two areas is 44m^2.
Find the area of the rectangle.

Answer by jorel1380(3719) About Me  (Show Source):
You can put this solution on YOUR website!
Let w be the width of the square and the rectangle. Then the rectangles length is 4w. So:
w(4w)+w(w)=44
5w²=44
w=√(44/5)
The length of the rectangle is 4√(44/5)~11.87 meters. ☺☺☺☺