SOLUTION: One side of a rectangle is 3 cm shorter than the other side. If we increase the length of each side by 1 cm, then the area of the rectangle will increase by 18 〖cm〗^2

Algebra ->  Rectangles -> SOLUTION: One side of a rectangle is 3 cm shorter than the other side. If we increase the length of each side by 1 cm, then the area of the rectangle will increase by 18 〖cm〗^2      Log On


   

Question 1021138: One side of a rectangle is 3 cm shorter than the other side. If we increase the length of each side by 1 cm, then the area of the rectangle will increase by 18 〖cm〗^2. Find the lengths of all sides.
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
x=-3%2By and xy=A for area;

New size, %28x%2B1%29%28y%2B1%29=aNewArea and %28x%2B1%29%28y%2B1%29-xy=18.

xy%2Bx%2By%2B1=xy=18
x%2By%2B1=18
%28y-3%29%2By%2B1=18
2y-2=18
y-1=9
highlight%28y=10%29 and from this and given, highlight%28x=7%29.