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A square handkerchief has an area of . Find the length of its side (in cm).

Class 7Perimeter and AreaPerimeter and Area
  • A84.5
  • B42.25
  • C13
  • D26

Step-by-Step Solution

Area of a square = sid, so sid → side = 13 cm . Dividing the area by 4, as if it were a perimeter, gives 42.25; halving gives 84.5.
Answer: C) 13

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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