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Byju's Answer
Standard XII
Mathematics
Global Maxima
A rectangular...
Question
A rectangular garden of length
40
m
and breadth
30
m
has a path of width
2
m
in the middle across its length and breadth. If the path is to be paved with square tiles of sides
25
c
m
that costs Rs.
10
each. Calculate the cost of paving
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Solution
REF.Image
Area of path =
(
40
×
2
)
+
(
30
×
2
)
−
(
2
×
2
)
{
−
(
2
×
2
)
for middle area being
counted twice
}
=
80
+
60
−
4
=
136
m
2
⇒
square files needed =
T
o
t
a
l
a
r
e
a
a
r
e
a
o
f
1
t
i
l
e
=
136
25
100
×
25
100
=
136
×
16
=
2176
⇒
Total cost = Rs. 21760
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Q.
The length and breadth of a park in the ratio 2 : 1 and its perimeter is 240 m. A path 2 m wide runs inside it, along its boundary. Find the cost of paving the path at Rs 80 per m
2
.