Question
A rectangular grassy lawn measuring 38 m by 25 m has been surrounded externally by a 2.5 -m-wide path. Calculate the cost of gravelling the path at the rate of Rs 120 per $m ^2$.
✓
Answer
Inner length of lawn $(1)=38 m$
and breadth $(b)=25 m$
Width of path $=2.5 m$
$\text { Outer length }(L)=38+2 \times 2.5=38+5=43 m$
$\text { and outer breadth }(B)=25+2 \times 2.5=25+5=30 m$
$\text { Area of path }=\text { Outer area - Inner area }$
$=(43 \times 30-38 \times 25) m ^2$
$=(1290-950) m ^2=340 m^2$
$\text { Rate of gravelling the path }=\text { Rs. } 120 \text { per } m ^2$
$\text { Total cost }=\text { Rs. } 120 \times 340=\text { Rs. } 40800$
and breadth $(b)=25 m$
Width of path $=2.5 m$
$\text { Outer length }(L)=38+2 \times 2.5=38+5=43 m$
$\text { and outer breadth }(B)=25+2 \times 2.5=25+5=30 m$
$\text { Area of path }=\text { Outer area - Inner area }$
$=(43 \times 30-38 \times 25) m ^2$
$=(1290-950) m ^2=340 m^2$
$\text { Rate of gravelling the path }=\text { Rs. } 120 \text { per } m ^2$
$\text { Total cost }=\text { Rs. } 120 \times 340=\text { Rs. } 40800$
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