The area of a parallelogram ABCD is 300 cm2, The distance between AB and CD is 20 cm, and the distance between BC and AD is 30 cm. What is the perimeter (in cm) of the parallelogram?

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SSC MTS 2020 (Held On : 5 Oct 2021 Shift 3 ) Official Paper 3
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  1. 60
  2. 50
  3. 40
  4. 100

Answer (Detailed Solution Below)

Option 2 : 50
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Given:

F1 Arun K  Shraddha 17.02.2022 D2

The area of a parallelogram ABCD is 300 cm2

Concept used:

Perimeter of a parallelogram = 2(a + b)

Area of a parallelogram = a × b

Where a and b is any side and height of the parallelogram from the opposite side

Calculation:

According to the concept,

CD × 20 = 300

CD = 15

Again 

AD × 30 = 300

AD = 10

So, Perimeter = 2 (15 + 10)

⇒ 50 cm

∴ The perimeter of the parallelogram 50 cm

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