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

You have a (x-8) by (x-9) rectangle

or a (x-9) by (x-8) rectangle.

Step-by-step explanation:

So really your only job is to factor x^2-17x+72 since we are given it is the area of a rectangle and you are asked to find the dimensions of that rectangle.

Find two numbers that multiply to be 72 while adding to be -17.

-8(-9)=72 and -8+(-9)=-17

So the factored form of x^2-17x+72 is (x-8)(x-9)

which is of the form AREA=(LENGTH)(WIDTH) (this is what we wanted).

A. length = (x − 8) units and width = (x − 9) units