SOLUTION: If the length of a rectangular parking lot is 10 meters less than twice its width, and the perimeter is 400 meters, find the dimensions of the parking lot. Set up an equation and t

Algebra ->  Rectangles -> SOLUTION: If the length of a rectangular parking lot is 10 meters less than twice its width, and the perimeter is 400 meters, find the dimensions of the parking lot. Set up an equation and t      Log On


   

Question 811269: If the length of a rectangular parking lot is 10 meters less than twice its width, and the perimeter is 400 meters, find the dimensions of the parking lot. Set up an equation and then solve it to find the dimensions.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
x and y length and width.

x=-10%2B2y and x%2By%2Bx%2By=400.
Clean those a bit and the system is x-2y=-10 and 2x%2B2y=400;
Clean the system a bit more and you have x-2y=-10 and x%2By=200.

In beginning to solve the system, notice that I left the first equation with a negative righthand term. The reason is what happens if you....

%28x-2y%29-%28x%2By%29=-10-200