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EPFO 2015 English Medium Solved Paper
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© examsnet.com
Question : 49
Total: 120
The original lay of a rectangular plot ABCD on open ground is 80 m long along AB, and 60 m wide along BC. Concreted pathways are intended to be laid on the inside of the plot all around the sides. The pathways along BC and DA are each 4 m wide. The pathways along AB and DC will mutually be of equal widths such that the un-concreted internal plot will measure three-fourth of the original areas of the plot ABCD. What will be the width of each of these pathways along AB and DC,
3 m
4m
5 m
6m
Validate
Solution:
given,
Area of rectangular plot = Length × Breadth
=
80
×
60
=
4800
m
2
Area of un-concreted plot
=
4800
×
3
4
=
3600
m
2
⇒
2
(
72
×
x
)
+
2
(
4
×
60
)
=
1200
⇒
144
x
+
480
=
1200
⇒
144
x
=
720
∴
x
=
720
144
=
5
m
Hence, width of each of these pathways along AB and DC.
© examsnet.com
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