Question

The area of a rectangular door is given by the trinomial x2 – 14x + 45. The door's width is

(x - 9). What is the door's length?

Answer 1

Length = (x - 5)

Step-by-step explanation:
Area
=
Width × Length
⇒
x
2
−
14
x
+
45
=
(
x
−
9
)
× Length
⇒
Length =
x
2
−
14
x
+
45
(
x
−
9
)

⇒
Length =
(
x
−
5
)
(
x
−
9
)
(
x
−
9
)

⇒
Length =
(
x
−
5
)
(
x
−
9
)
(
x
−
9
)

⇒
Length =
(
x
−
5
)