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Compute these four areas and pick the one with the LARGEST area: A) triangle base 10 cm, height 8 cm; B) parallelogram base 6 cm, height 6 cm; C) circle radius 7 cm (use π = ); D) square side 9 cm.

Class 7Perimeter and AreaPerimeter and Area
  • AC: circle
  • BD: square
  • CA: triangle
  • DB: parallelogram

Step-by-Step Solution

Areas: . The circle is largest.
Answer: A) C: circle

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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