Question
A rectangular grassy plot is 112m long and 78m broad. It has a gravel path 2.5m wide all around it on the side. Find the area of the path and the cost of constructing it at Rs. 4.50 per square metre.
✓
Answer
Length of rectangular plot (l) = $112m$
and breadth (b) = $78m$
Width of parth = $2.5m$
Inner length $=112-2 \times 2.5=112-5=107 m$
and inner breadth $=78-2 \times 2.5=78-5=73 m$
Area of path = outer area - inner area
$=(112 \times 78-107 \times 73) m ^2=8736-7811=925 m^2$
Rate ofconstructing $=\text { Rs. } 4.50 \text { per } m ^2$
Total cost $=925 \times \text { Rs. } 4.50=\text { Rs. } 4162.50$
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