The length of a rectangle is 5 centimeters more than the width. the area of the rectangle is 36 centimeters. what is the length?

We can represent the width as x and the length as x+5. Then we can make the area formula A=(x)*(x+5), plug in 36 for A, and solve for x

36=x^2+5x (distribute)
0=x^2+5x-36
0=(x+9)(x-4)
So x=-9 and 4 but dimensions can't be negative so x=4

So if the width is 4, then the length is 9 (4+5)

Hope this helps :)