In the parallelogram ABCD, AL and CM are perpendicular to CD and AD respectively. AL = 20 cm, CD = 18 cm and CM = 15 cm. The perimeter of the parallelogram is:

Question

Question

This question was previously asked in

NTPC CBT-I (Held On: 7 Jan 2021 Shift 1)

Answer 1

Given:

In parallelogram ABCD, AL and CM are perpendicular to CD and AD respectively.

AL = 20 cm, CD = 18 cm and CM = 15 cm

Formula used:

Area of parallelogram = Base × Height

Perimeter of parallelogram = 2 × (Sum of parallel sides)

Calculation:

F1 Ravi Ravi 17.11.21 D3

Area of ABCD with base DC = AL × DC = 20 × 18

⇒ 360 cm²

Again, Area of ABCD with base AD = CM × AD = 15 × AD

⇒ 360 cm2 = 15 × AD

⇒ AD = 24 cm

∴ AD = BC = 24 cm, DC = AB = 18 cm

Perimeter of ABCD = 2 × (24 + 18)

⇒ 2 × 42

⇒ 84 cm

∴ The required result = 84 cm

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