The area of a trapezium is 18 sq.cm. Its height and base are 3 cm and 5 cm respectively. Find the length of the side parallel to the base.

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Railways Tier I (Held On: 6 Apr 2016 Shift 2)
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  1. 4 cm
  2. 6 cm
  3. 8 cm
  4. 7 cm

Answer (Detailed Solution Below)

Option 4 : 7 cm
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RRB NTPC CBT-I Official Paper (Held On: 4 Jan 2021 Shift 1)
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Detailed Solution

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We know that area of trapezium = 1/2 × height × (a + b)

Where, a = length of the side parallel to the base

b = base

⇒ 18 sq.cm = 1/2 × 3 × (a + 5)

⇒ 36 = 3a + 15

⇒ 21 = 3a

⇒ a = 21/3 = 7 cm

∴ Length of the side parallel to the base is 7 cm 
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