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CDS Model Paper 1 Mathematics
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© examsnet.com
Question : 56
Total: 100
A rectangular paper, when folded into two congruent parts had a perimeter of
34
cm
for each part folded along one set of sides and the same is
38
cm
when folded along the other set of sides. What is the area of the paper?
140
cm
2
240
cm
2
560
cm
2
None of these
Validate
Solution:
When folded along breadth, we have :
2
(
l
2
+
b
)
=
34
or
l
+
2
b
=
34
....(i)
When folded along length, we have :
2
(
l
+
b
2
)
=
38
or
2
l
+
b
=
38
...(ii)
Solving (i) and (ii), we get :
l
=
14
and
b
=
10
.
∴ Area of the paper
=
(
14
×
10
)
cm
2
=
140
cm
2
.
© examsnet.com
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