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NDA Math Area Under the Curves
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© examsnet.com
Question : 8
Total: 27
Let
l
be the length and
b
be the breadth of a rectangle such that
l
+
b
=
k
.
What is the maximum area of the rectangle?
[NDA-I 2020]
2
k
2
k
2
k
2
2
k
2
4
Validate
Solution:
👈: Video Solution
l
+
b
=
K
,
where
l
=
length
,
b
=
breadth.
Area of the rectangle
A
=
l
.
b
.
A
=
l
(
K
−
l
)
=
l
K
−
l
2
For maximum area,
d
A
d
l
=
0
d
d
l
(
l
k
−
l
2
)
=
0
K
−
2
l
=
0
⇒
l
=
K
2
Now,
K
2
+
b
=
K
⇒
b
=
K
−
K
2
=
K
2
Area,
A
=
l
.
b
=
K
2
.
K
2
=
K
2
4
© examsnet.com
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