एक समलम्ब चतुर्भुज की दो समानांतर भुजाएं क्रमशः 17 सेमी और 15 सेमी हैं। यदि समलम्ब चतुर्भुज की ऊँचाई 6 सेमी है, तो इसका क्षेत्रफल (मीटर2 में) कितना है?

This question was previously asked in
SSC CPO Previous Paper 36 (Held On: 24 November 2020 Shift 1)
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  1. 0.96 मीटर2
  2. 0.0096 मीटर2
  3. 9.6 मीटर2
  4. 960 मीटर2

Answer (Detailed Solution Below)

Option 2 : 0.0096 मीटर2
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SSC CPO : General Intelligence & Reasoning Sectional Test 1
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Detailed Solution

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दिया गया है:

L1 = 17 सेमी

L2 = 15 सेमी

ऊँचाई (H) = 6 सेमी

प्रयुक्त अवधारणा:

माना दो समानांतर भुजाएं L1 और L2 हैं 

समलम्ब चतुर्भुज का क्षेत्रफल = (1/2) × (समानांतर भुजाओं का योग) × ऊँचाई

1 सेमी = (1/100) मीटर 

गणना:

समलम्ब चतुर्भुज का क्षेत्रफल = (1/2) × (17 + 15) × 6

⇒ 96 सेमी2

⇒ 96/10000 मीटर2 = 0.0096 मीटर2

∴ समलम्ब चतुर्भुज का क्षेत्रफल 0.0096 मीटर2 हैl

Shortcut Trick समलम्ब चतुर्भुज का क्षेत्रफल = (1/2) × (17 + 15) × 6

⇒ 96 सेमी2

0.0096 m2

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