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A lawn 60 by 40 has two cross paths, each 3 wide, running through its middle parallel to the sides (yellow). Paving costs ₹20 per . Find the cost of paving the paths.

Class 7Perimeter and AreaPerimeter and Area
  • A₹5820
  • B₹6000
  • C₹5640
  • D₹3600

Step-by-Step Solution

Path area (the centre square is counted once). Cost .
Answer: A) ₹5820

Key idea: Parallelogram area

**Area of a parallelogram = base × height.**

Same idea as a rectangle, but the height is the perpendicular distance between the two parallel sides — NOT the slant length of the side. Pick any side as the base, drop a perpendicular to the opposite parallel side, measure that — that's the height.

Example: parallelogram with base 8 cm and perpendicular height 5 cm. Area = . The slant side could be longer; doesn't matter for area.

Perimeter of a parallelogram = 2 × (one side + adjacent side).

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