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VITEEE 2019 Solved Paper
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© examsnet.com
Question : 104
Total: 125
A wire 34 cm long is to be bent in the form of a quadrilateral of which each angle is 90°. What is the maximum area which can be enclosed inside the quadrilateral?
68
c
m
2
70
c
m
2
71.25
c
m
2
72.25
c
m
2
Validate
Solution:
Let one side of quadrilateral be x and another side be y so, 2(x + y) = 34
or, (x + y) = 17 ...(i)
We know from the basic principle that for a given perimeter square has the maximum area, so, x = y and putting this value in equation (i)
x
=
y
=
17
2
Area
=
x
.
y
=
17
2
×
17
2
=
72.25
© examsnet.com
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