Question
A rectangular grassy plot is 75 m long and 60 m broad. If has path of width 2 m all around it on the inside. Find the area of the path and cost and of constructing it at Rs 125 per $m ^2$.
✓
Answer
Outer length of plot $(L)=75 m$
and breadth $(B)=60 m$
Width of path inside $=2 m$
Inner length $(I)=75-2 \times 2=75-4=71 m$
and width (b) $=60-2 \times 2=60-4=56 m$
Area of the path $= L \times B - I \times b =(75 \times 60-71 \times 56) m ^2=4500-3976=524 m^2$
Rate of constructing it = Rs. 125 per $m ^2$
Total cost $=$ Rs. $524 \times 125=$ Rs. 65500
and breadth $(B)=60 m$
Width of path inside $=2 m$
Inner length $(I)=75-2 \times 2=75-4=71 m$
and width (b) $=60-2 \times 2=60-4=56 m$
Area of the path $= L \times B - I \times b =(75 \times 60-71 \times 56) m ^2=4500-3976=524 m^2$
Rate of constructing it = Rs. 125 per $m ^2$
Total cost $=$ Rs. $524 \times 125=$ Rs. 65500
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