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Mensuration — Maths STD 7 — Question

Maharashtra BoardEnglish MediumSTD 7MathsMensuration4 Marks
Question
A rectangular plot of land measures 95 m by 72 m . Inside the plot, a path of uniform width of 3.5 m is to be constructed all around. The rest of the plot is to be laid with grass. Find the total expenses involved in constructing the path at Rs 80 per $m ^2$ and laying the grass at Rs 40 per $m ^2$.
✓

Answer

Outer length of the plot $(L)=95 m$
and breadth $(B)=72 m$
Width of path $=3.5 m$


Inner length (1)=95-2 * 3.5=95-7=88m
and breadth = 72-2\times3.5=72-7=65m
Outer area = L * B = 95 × 72m
and inner area = I * b = 88 * 65m
Area of path = outer area - inner area = 6840 - 5720 = 1120m
Rate of constructing it = Rs. 80 per m
Total cost = Rs. 1120 }\times80=\mathrm{ Rs. 89600
and rate of laying grass = Rs. 40 per m
Total cost = Rs. 40 × 5720 = Rs. 228800
Total cost = Rs. 89600 + Rs. 228800 = Rs. 318400

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