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Easyparallelogram

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Area of a parallelogram

What is the area of a parallelogram with base 18 cm and height 9 cm?

Show the answer and the worked solution

Correct answer: C.

162 cm²

Worked solution

  1. Area = 18 × 9 = 162 cm².

Answer: 162 cm².

The idea

A parallelogram is base × perpendicular height, not base × side. A triangle on the same base and height is half of it.

Shortcut. Base × height with no halving: 18 × 9 = 2 × 81 = 162.

Common trap. 81 cm² — halving as for a triangle; a parallelogram is two such triangles, so base × height in full.

Area of a parallelogram — Mensuration Aptitude Question

Area of a parallelogram: What is the area of a parallelogram with base 18 cm and height 9 cm? Answer and worked solution on CodeKairo.

Question

What is the area of a parallelogram with base 18 cm and height 9 cm?

Options

  1. 81 cm²
  2. 144 cm²
  3. 162 cm²
  4. 324 cm²
Show the answer and the worked solution

Correct answer: C. 162 cm²

Worked solution

  1. Area = 18 × 9 = 162 cm².

Answer: 162 cm².

The idea

A parallelogram is base × perpendicular height, not base × side. A triangle on the same base and height is half of it.

Shortcut. Base × height with no halving: 18 × 9 = 2 × 81 = 162.

Common trap. 81 cm² — halving as for a triangle; a parallelogram is two such triangles, so base × height in full.

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