Question
A rectangular plot measures 125m by 78m. It has gravel path 3m wide all around on the outside. Find the area of the path and the cost of gravelling it at ₹ 75 per $m^2$.
✓
Answer
Length of the plot = 125m Breath of the plot = 78m
Area of the plot $A B C D=(125 \times 78) m ^2=9750 m^2$
Length of the plot including the path $=(125+3+3) m =131 m$
Breath of the plot including the path $=(78+3+3) m =84 m$
Area of plot PQRS including the path $=(131 \times 84) m ^2 11004 m^2$
Area of path $=$ Area of plot PQRS Area of plot $A B C D=(11004 \times 9750) m ^2=1254 m^2$
Cost of gravelling = ₹ 75 per $m ^2$
$\therefore$ Cost of gravelling the whole path $=₹(1254 \times 75)=₹ 94050$
Hence, cost of gravelling the path $=₹ 94050$.
Area of the plot $A B C D=(125 \times 78) m ^2=9750 m^2$
Length of the plot including the path $=(125+3+3) m =131 m$
Breath of the plot including the path $=(78+3+3) m =84 m$
Area of plot PQRS including the path $=(131 \times 84) m ^2 11004 m^2$
Area of path $=$ Area of plot PQRS Area of plot $A B C D=(11004 \times 9750) m ^2=1254 m^2$
Cost of gravelling = ₹ 75 per $m ^2$
$\therefore$ Cost of gravelling the whole path $=₹(1254 \times 75)=₹ 94050$
Hence, cost of gravelling the path $=₹ 94050$.
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