A rectangle has a length that is 5 inches greater than its width, and its area is 104 square inches. The equation (x + 5) x = 104 represents the situation, where x represents the width of the rectangle. What are the dimensions of the rectangle?

1. Regroup terms

x (x+5) = 104

2. Expand

x^2+5x=104

3. Move all terms to one side

x^2+5x-104=0

4. Factor x^2+5x-104

(x-8) (x+13) = 0

5. Solve for x

x=8 or x=-13

Since x<0 is not possible in this case, x=8

6. Finding the dimensions

We know that one side has to be x+5, and now that we know x:

8+5=13

13*8=104

The dimensions are 13 and 8, have a nice day : D