SOLUTION: The perimeter of a rectangle garage is 44 meters. The area is 120 square meters. What are the dimensions of the garage?

Click here to see ALL problems on Geometry Word Problems

Question 1178120: The perimeter of a rectangle garage is 44 meters. The area is 120 square meters. What are the dimensions of the garage?
Found 2 solutions by josgarithmetic, greenestamps:
Answer by josgarithmetic(39617) (Show Source):
You can put this solution on YOUR website!
x and 22-x;
x(22-x)=120

Dimensions, 12 meters and 10 meters

Answer by greenestamps(13200) (Show Source):
You can put this solution on YOUR website!

For an elementary algebra class, a solution using formal algebra is fine; you should know how to do it.

But the problem is best suited for solution using logical reasoning and simple mental calculations.

The perimeter is 44, so the semi-perimeter (length plus width) is 22. So you need two numbers whose sum is 22 and whose product is 120.

A few seconds of thought bring you to the answer 12 by 10.