The rectangle below has an area of x^2-9x

2

-9x, squared, minus, 9 square meters and a width of x-3x-3x, minus, 3 meters.

What expression represents the length of the rectangle?

(x+3) m

Step-by-step explanation:

Area of a rectangle = Length * width

Given the area = (x²-9) m²

Width = (x-3) m

Length of the rectangle = Area/Width

Length of the rectangle = x²-9/x-3

= x²-3²/x-3

Note that according to different of two square, a²-b² = (a+b) (a-b)

Therefore x²-3² = (x+3) (x-3)

Length of the rectangle

= (x+3) (x-3) / x-3

= x+3

The length of the rectangle is (x+3) m