A parallelogram has a base of 12 cm and a height of 9 cm. If the side length…

2025

A parallelogram has a base of 12 cm and a height of 9 cm. If the side length adjacent to the base is 7 cm, then find the ratio of the perimeter and area of the parallelogram?

  1. A.

    17:54

  2. B.

    19:54

  3. C.

    17:54

  4. D.

    19:52

Attempted by 12 students.

Show answer & explanation

Correct answer: B

Solution: Compute perimeter and area, then form the ratio.

  • Perimeter = 2 × (base + adjacent side) = 2 × (12 + 7) = 38 cm.

  • Area = base × height = 12 × 9 = 108 cm².

  • Ratio of perimeter to area = 38 : 108. Simplify by dividing both terms by 2 to get 19 : 54.

Final answer: 19:54

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