Example 1 · level 1
A rectangular farm in Punjab is 37 m long and 14 m wide. Find the cost of fencing it at ₹34 per metre.
Show solution
- Perimeter = 2(37 + 14) = 102 m.
- Cost = 102 × 34 = ₹3,468.
Answer: ₹3,468
SSC & BANK EXAMS: QUANTITATIVE APTITUDE · MENSURATION
Mensuration 2D: area, perimeter and paths
Rectangle: area lb, perimeter 2(l + b). Circle: area πr², circumference 2πr (π = 22/7). Path outside: (l + 2w)(b + 2w) − lb.
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Worked examples
Example 2 · level 2
A circular park in Bengaluru has a radius of 35 m. Find its circumference (in m). (Use π = 22/7)
Show solution
- Circumference = 2 × 22/7 × 35 = 220 m.
Answer: 220
Example 3 · level 3
A rectangular lawn 54 m × 15 m has a path 4 m wide all around it on the outside. Find the cost of paving the path at ₹42 per m².
Show solution
- Outer area = 62 × 23 = 1426 m².
- Lawn = 810 m². Path = 616 m².
- Cost = 616 × 42 = ₹25,872.
Answer: ₹25,872