The base of a parallelogram is thrice its height. If the area of the parallelogram is 1020 cm2, then what is its height?

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SSC Selection Post 2024 (Higher Secondary Level) Official Paper (Held On: 25 Jun, 2024 Shift 2)
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  1. 2\( \sqrt{85}\) cm
  2. \(\sqrt{89}\) cm
  3. \(\sqrt{82}\) cm
  4. 2\( \sqrt{84}\) cm

Answer (Detailed Solution Below)

Option 1 : 2\( \sqrt{85}\) cm
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Detailed Solution

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Given:

The base of a parallelogram is thrice its height. The area of the parallelogram is 1020 cm2.

Formula used:

Area of parallelogram = base × height

Calculations:

Let height = h cm

Then, base = 3h cm

Area = 3h × h = 3h2

Given area = 1020 cm2

⇒ 3h2 = 1020

⇒ h2 = 340

⇒ h = √340

⇒ h = 2 √85 cm

∴ The correct answer is option 1.

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