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

question 1 is 8, question 2 is 9, question 3 is 24

step-by-step explanation:

now, the numbers they give you at the top are the key. from there, you just have to plug and chug! let's try 1, 2, and 3!

key: a=3, b=5, c=6

1. a+5

remember, a=3, so we plug that in to get 3+5=8

2. 15-c

c=6, so we plug that in to get 15-6=9

3. 4b

b=6, so we plug it in to get 4*6=24

time to try the rest on your own! if you put the answers below in a comment, i'll check them for you!