A field is 150 m long and 80 wide. How many times (rounded off to 1 decimal place) is its perimeter to the length of its diagonal?

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SSC CGL 2023 Tier-I Official Paper (Held On: 25 Jul 2023 Shift 1)
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  1. 2.3
  2. 2.5
  3. 2.7
  4. 3.1

Answer (Detailed Solution Below)

Option 3 : 2.7
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PYST 1: SSC CGL - English (Held On : 11 April 2022 Shift 1)
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Detailed Solution

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Given:

Length of field = 150 m

Breadth of field = 80 m

Formula used:

Perimeter of rectangle = 2 × (L + B)

Diagonal of rectangle = √(L2 + B2)

Where, L = length; B = breadth

Calculation:

Diagonal of rectangle × (X) = perimeter of rectangle

⇒ √{(150)2 + (80)2} × (X) =   2 × (150 + 80)

⇒ √{(22500 + 6400} × (X) =  2 × 230

⇒ √28900 X =  460

⇒ X = 460/170 = 2.7

∴ The correct answer is 2.7.

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