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In parallelogram PQRS, the base PQ = 16 cm, the slant side QR = 10 cm, and the perpendicular distance between PQ and SR is 6 cm. Find the area of PQRS (in ).

Class 7Perimeter and AreaPerimeter and Area
  • A160
  • B96
  • C60
  • D48

Step-by-Step Solution

Area of a parallelogram = base × PERPENDICULAR height = . Using the 10 cm slant side as the height gives the trap 160; halving (that is the triangle formula) gives 48.
Answer: B) 96

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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