What is the area of the rectangle whose diagonal is 17 cm and breadth is 8 cm?

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RRB ALP Electrician 22 Jan 2019 Official Paper (Shift 2)
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  1. 120 cm2
  2. 125 cm2
  3. 128 cm2
  4. 136 cm2

Answer (Detailed Solution Below)

Option 1 : 120 cm2
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Detailed Solution

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Given:

The breadth of the rectangle = 8 cm

The diagonal of the rectangle = 17 cm

Formula Used:

(Diagonal)2 = (Length)2 + (breadth)2

Area of the rectangle = Length × breadth 

Calculation:

(Diagonal)2 = (Length)2 + (breadth)2

⇒ (17)2 = (Length)2 + (8)2

Length = √(289 - 64)

⇒ Length = √225

⇒ Length = 15 cm

Area of the rectangle = Length × Breath

⇒ 15 × 8

⇒ 120 cm2

∴ The area of the rectangle is 120 cm2.
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