University of South Carolina High School Math Contest/1993 Exam/Problem 1
Problem
If the width of a particular rectangle is doubled and the length is increased by 3, then the area is tripled. What is the length of the rectangle?
![$\mathrm{(A) \ } 1 \qquad \mathrm{(B) \ } 2 \qquad \mathrm{(C) \ } 3 \qquad \mathrm{(D) \ } 6 \qquad \mathrm{(E) \ } 9$](http://latex.artofproblemsolving.com/b/f/3/bf3cf45fe611d0698538a185c14d41a0d91220e5.png)
Solution
Let be the length and
be the width. We have that
. Dividing by
give
so $\mathrm{(D)$ (Error compiling LaTeX. Unknown error_msg) is our answer.