My name is Gabriel and I need help with this SAT problem.

The length of a rectangle is increased by 20%, and the width of the rectangle is increased by 30%.

By what percentage will the area of the rectangle be increased.

a)25%

b)36%

c)50%

d)56%

e)60%

I already know the answer, all I want is a detailed explanation and steps for solving this.

Thank you!

Re: My name is Gabriel and I need help with this SAT problem.

By not giving the values of the lengths x and y of the rectangle's sides, the question seems to imply that the answer does not depend on them. So, take some concrete x and y (e.g., x = y = 10) and calculate. Then it would be nice to show that the same answer holds for any x and y.

Re: My name is Gabriel and I need help with this SAT problem.

Quote:

Originally Posted by

**pieRsquared** The length of a rectangle is increased by 20%, and the width of the rectangle is increased by 30%.

By what percentage will the area of the rectangle be increased.

a)25%

b)36%

c)50%

d)56%

e)60%

I already know the answer, all I want is a detailed explanation and steps for solving this

If the original area is $\displaystyle A=\ell\cdot w$ then the new area is $\displaystyle A'=(1.2\ell)\cdot(1.3w)$.

What is $\displaystyle A'-A=~?$