The area of a rectangle is x² + 15x +56. If the length be x+7 , Find its breadth
Answers
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Step-by-step explanation:
Given that the area of a rectangle is
x
2
−
15
x
+
56
s
q
u
a
r
e
m
e
t
e
r
s
and the length is
(
x
−
7
)
m
.
So
A
=
x
2
−
15
x
+
56
m
2
(Eq.1)
and
length
(
l
)
=
(
x
−
7
)
m
Now factorize the equation (1)-
A
=
x
2
−
7
x
−
8
x
+
56
A
=
x
(
x
−
7
)
−
8
(
x
−
7
)
A
=
(
x
−
7
)
(
x
−
8
)
m
2
l
w
=
(
x
−
7
)
(
x
−
8
)
(
x
−
7
)
w
=
(
x
−
7
)
(
x
−
8
)
w
=
(
x
−
7
)
(
x
−
8
)
x
−
7
w
=
(
x
−
8
)
m
So the width of the rectangle is written as the expression
(
x
−
8
)
m
.
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