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A parallelogram-shaped kitchen garden has adjacent sides 24 m and 16 m, and the height drawn to the 24 m side is 12 m. Ravi wants a wire fence once around the garden. What length of wire does he need (in m)?

Class 7Perimeter and AreaPerimeter and Area
  • A80
  • B288
  • C72
  • D40

Step-by-Step Solution

A fence runs along the SIDES, so m. The 12 m height is only for area — using it gives the area (the trap) or, if treated as a side, m.
Answer: A) 80

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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