In quadrilateral ABCD, AB = 17 cm, BC = 8 cm, CD = 9 cm, AD = 12 cm, and AC = 15 cm. What is the area (in cm2) of the quadrilateral?

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RRB NTPC Graduate Level CBT-I Official Paper (Held On: 05 Jun, 2025 Shift 1)
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  1. 114
  2. 118
  3. 121
  4. 105

Answer (Detailed Solution Below)

Option 1 : 114
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Detailed Solution

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Given

AB = 17 cm, BC = 8 cm, CD = 9 cm, AD = 12 cm, and AC = 15 cm

Calculation

aswe11233

In the above figure:

Area of ΔACD 

= 1/2 × 12 × 9 = 54 

Area of ΔABD 

= 1/2 × 8 × 15 = 60

Area of quadrilateral = 60 + 54 = 114 cm2

The correct answer is 114. 

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