The area of a rectangular door is given by the trinomial x^2 – 14x + 45. The door’s width is (x – 9). What is the door’s length?

1 Answer

Length = (x-5)

Explanation:

Area= Width × Length
=>x^2-14x+45 = (x-9) × Length
=>Length = (x^2-14x+45)/((x-9))
=>Length = ((x-5)(x-9))/((x-9))
=>Length = ((x-5)cancel ((x-9)))/(cancel((x-9)))
=>Length = (x-5)