SOLUTION: The perimeter of a rectangle is 20 meters. If the length is increased by 2 meters and the width is increased by 3 meters, the area is increased by 30 sq. meters. What are the dimen

Algebra ->  Rectangles -> SOLUTION: The perimeter of a rectangle is 20 meters. If the length is increased by 2 meters and the width is increased by 3 meters, the area is increased by 30 sq. meters. What are the dimen      Log On


   

Question 1005260: The perimeter of a rectangle is 20 meters. If the length is increased by 2 meters and the width is increased by 3 meters, the area is increased by 30 sq. meters. What are the dimensions of the rectangle?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
w and L dimensions.
2w%2B2L=20, wL is the initial area.

%28L%2B2%29%28w%2B3%29-wL=30
wL%2B2w%2B3L%2B6-wL=30
2w%2B3L=30

Perimeter equation for the initial rectangle simplifies to w%2BL=10.

Solve this system for L and w:
system%282w%2B3L=30%2Cw%2BL=10%29.