A rectangle has a length that is 8 inches more than its width, w. The area of the rectangle is 65 square inches.

The length is 13 inches and the width is 5 inches.

Step-by-step explanation:

Ok as we know length times width equals area. That would be l×w=65 for this. We know l is w+8 so we can make this equation

Now we can solve it.

First distributive property

Now subtract 65 from both sides of the equation

Now factor the left side of the equation

(w-5)(w+13)=0

one of the values in the parenthesis has to be 0 to cancel the other one into 0 meaning that w can either be 5 or -13.

Since we are finding area we can't have a negative value so w is 5.

Since the length is 8 more than the width it is 13.