The lengths of a pair of parallel sides of a trapezium are 20 cm and 25 cm, respectively, and the perpendicular distance between these two sides is 14 cm. What is the area (in cm2 ) of the trapezium? 

This question was previously asked in
SSC CHSL 2021 (Held On : 2 June 2022 Shift 2)
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  1. 512
  2. 250 
  3. 300
  4. 315 

Answer (Detailed Solution Below)

Option 4 : 315 
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SSC CHSL Exam 2023 Tier-I Official Paper (Held On: 02 Aug 2023 Shift 1)
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Detailed Solution

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Given:

Distance between the parallel sides = 14 cm,

Length of the parallel sides are 20 cm and 25 cm.

Concept Used:

Area of trapezium = (1/2) × Sum f the parallel sides × Perpendicular distance between the parallel sides

Calculation:

According to the Question, We have:

F3 Vinanti SSC 19.12.22 D1

Area of trapezium = (1/2) × Sum f the parallel sides × Perpendicular distance between the parallel sides

Area = (1/2) × (20 + 25) × 14

Area = 45 × 7

Area = 315 cm²

∴ The Area of the trapezium is 315 cm².

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