Question
A rectangular grassy lawn measuring $40m$ by $25m$ is to be surrounded externally by a path which is $2m$ wide. Calculate the cost of leveling the path at the rate of $Rs. 8.25$ per square metre.
✓
Answer
We have,
Length $A B=40 m$ and breadth $BC =25 m$
Area of lawn $A B C D=40 m \times 25 m=1000 m^2$
Length $P Q=(40+2+2) m =44 m$
Breadth $Q R=(25+2+2) m =29 m$
Area of $P Q R S=44 m \times 29 m=1276 m^2$
Now, Area of the path $=$ Area of $PQRS$ - Area of the lawn $A B C D$
$=1276 m^2-1000 m^2=276 m^2$
Rate of leveling the path $=$ Rs. 8.25 per $m ^2$
Cost of leveling the path $=$ Rs. $(8.25 \times 276)= Rs. 2277$
Length $A B=40 m$ and breadth $BC =25 m$
Area of lawn $A B C D=40 m \times 25 m=1000 m^2$
Length $P Q=(40+2+2) m =44 m$
Breadth $Q R=(25+2+2) m =29 m$
Area of $P Q R S=44 m \times 29 m=1276 m^2$
Now, Area of the path $=$ Area of $PQRS$ - Area of the lawn $A B C D$
$=1276 m^2-1000 m^2=276 m^2$
Rate of leveling the path $=$ Rs. 8.25 per $m ^2$
Cost of leveling the path $=$ Rs. $(8.25 \times 276)= Rs. 2277$
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