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CDS Model Paper 1 Mathematics
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© examsnet.com
Question : 53
Total: 100
The length of a rectangular field is double its width. Inside the field there is a square-shaped pond
8
m
long. If the area of the pond is
1
8
of the area of the field, what is the length of the field?
32
m
16
m
64
m
20
m
Validate
Solution:
Let width of the field
=
b
m
∴ length
=
2
b
m
Now, area of rectangular field
=
2
b
×
b
=
2
b
2
Area of square shaped pond
=
8
×
8
=
64
According to the question,
64
=
1
8
(
2
b
2
)
⇒
b
2
=
64
×
4
⇒
b
=
16
m
∴ length of the field
=
16
×
2
=
32
m
© examsnet.com
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