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CAT 2014 Question Paper Quantitative Ability and Data Interpretation for online practice
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© examsnet.com
Question : 1
Total: 50
How many rectangles with integral sides are possible where the area of the rectangle equals the perimeter of the rectangle?
One
Three
Two
Infinitely many
Validate
Solution:
Let the lengths of the sides of the rectangle be a units and b units
By the problem,
a
b
=
2
a
+
2
b
a
=
2
b
(
b
−
2
)
Two cases are possible
(i)
a
=
4
,
b
=
4
(ii)
a
=
3
and
b
=
6
Thus, two different rectangles are possble.
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