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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?
asked
Mar 15, 2023
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20
votes
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?
Mathematics
high-school
Rkagerer
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Rkagerer
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1
Answer
4
votes
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
)
LucasBordeau
answered
Mar 19, 2023
by
LucasBordeau
7.9k
points
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