Algebra word problems

Question

A rectangle is 6 inches longer than it is wide. The total perimeter length of the rectangle is 48 inches. How long and how wide is the rectangle? The surface area of a rectangle is the length times the width; what is the surface area of this rectangle?

Answer 1

Set your width as "x" and the length as "x+6".

Since there are two sides to each rectangle, the equation will be x+x+x+6+x+6 or 4x+12=48. You should be able to find the width as "x" and the length as "x+6" (ans: 9in and 15in, respectively).  The width is 9 inches.

Once you know the side lengths, the area is an easy calculation of L x W. (ans: 135in²)

 

I hope this helps!