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 𝑐𝑚2.

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 𝑐𝑚2.      Log On


   

Question 1023118: 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 𝑐𝑚2. Find the lengths of all sides.
Answer by josgarithmetic(39625) About Me  (Show Source):
You can put this solution on YOUR website!
x and x-3;
A=x%28x-3%29

x+1 and x-3+1;
x+1 and x-2;
B=%28x%2B1%29%28x-2%29

B-A=18
%28x%2B1%29%28x-2%29-x%28x-3%29=18
x%5E2%2Bx-2x-2-x%5E2%2B3x=18
x-2x%2B3x=18
2x=18
highlight_green%28x=9%29

Find the sides, now knowing x.