# Math Help - Rectangle

1. ## Rectangle

A rectangle is three times as long as it is wide. If its length and width are both decreased by 2cm, its area is decreased by 36cm^2. Find its original dimensions.

2. Originally Posted by magentarita
A rectangle is three times as long as it is wide. If its length and width are both decreased by 2cm, its area is decreased by 36cm^2. Find its original dimensions.
Denote the original length to be $L$ and its original width to be $W$.

From the first sentence, you know $3W=L$

The second one tells you that $(L-2)(W-2)=LW-36$

Solve the resulting two equations.

3. ## ok...

Originally Posted by Last_Singularity
Denote the original length to be $L$ and its original width to be $W$.

From the first sentence, you know $3W=L$

The second one tells you that $(L-2)(W-2)=LW-36$

Solve the resulting two equations.
Thanks. I can take it from here.