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

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step-by-step explanation: