Arectangle has an area of (x2 − 17x + 72) square units. since the area of a rectangle is determined using the formula, a = lw, what could be the length and width of the rectangle? length = (x − 8) units and width = (x − 9) units length = (x + 9) units and width = (x + 8) units length = (x − 6) units and width = (x − 12) units length = (x + 12) units and width = (x + 6) units

The length and width of the rectangle is (x-8) unit and (x-9) unit respectively.

Explanation:

Area of rectangle =   square units.

Let the length of the rectangle be l.

Let the width of the rectangle be w.

Area of the rectangle = length × width = l × w

Using middle term splitting theorem:

On comparing R.H.S and L.H.S we gwt :

length ,l= (x-8)

Width ,w = (x-9)

The length and width of the rectangle is (x-8) unit and (x-9) unit respectively.

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