One side of a rectangle is 5 inches longer than the other. The area of the rectangle is 66 square inches. Find the dimensions of the rectangle. Answer in exact form.

Question

This needs to be a quadratic equation and if you can please show your steps

Answer 1

Area of a rectangle: A = w * l

In this case:

66 = x (x + 5)

66 = x² + 5x

x² + 5x - 66 = 0

Solving the quadratic equation:

x₁ = 6

x₂ = -11 this solution is not possible because the size of a side can't be negative

One side of the rectangle is: 6 inches

The other side of the rectangle is:

x + 5

6 + 5 = 11 inches

The sides of the rectangles are 6 inches and 11 inches.

Answer 2

x(x+5) = 66

x^2 + 5x - 66 = 0

( x + 11 )(x - 6 ) = 0

x+11=0 or x-6=0

x=-11 or x=6

11 by 6