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The violet square is drawn on squared paper, where each small square is 1 cm by 1 cm. What is its area?

Class 7Perimeter and AreaPerimeter and Area
  • A
  • B
  • C
  • D

Step-by-Step Solution

It fits in a box . Remove the 4 corner right triangles, each .
Answer: C)

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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