The length of a rectangle is 16 cm. If the length of diagonal is 20 cm, then what will be the breadth of the rectangle?

This question was previously asked in
SSC GD Previous Paper 10 (Held On: 14 Feb 2019 Shift 2)
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  1. 8 cm
  2. 12 cm
  3. 10 cm
  4. 14 cm

Answer (Detailed Solution Below)

Option 2 : 12 cm
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Detailed Solution

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GIVEN:

A rectangle with length = 16cm and diagonal length = 20 cm

CONCEPT :

Pythagoras theorem

FORMULA USED:

Diagonal2 = length2 + breadth2

CALCULATION:

As length breadth and diagonal will form a right-angled triangle

⇒ 162 + breadth2 = 202

⇒ breadth2 = 400 - 256 

⇒ breadth2 = 144

⇒ breadth = 12 cm

∴ The breadth of the rectangle is 12 cm.

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