ట్రెపీజియం యొక్క వైశాల్యం 18 చదరపు సెం.మీ. దీని ఎత్తు మరియు భూమి వరుసగా 3 సెం.మీ మరియు 5 సెం.మీ. భూమికి సమాంతరంగా ఉండే భుజం పొడవును కనుగొనండి.

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  1. 4 సెం.మీ.
  2. 6 సెం.మీ.
  3. 8 సెం.మీ.
  4. 7 సెం.మీ.

Answer (Detailed Solution Below)

Option 4 : 7 సెం.మీ.
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Detailed Solution

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ట్రెపీజియం యొక్క వైశాల్యం = 1/2 × ఎత్తు × (a + b) 

ఇకక్కడ, a = భూమికి సమాంతరంగా ఉండే పొడవు

b = భూమి

18 చ.సెం.మీ = 1/2 × 3 × (a + 5)

⇒ 36 = 3a + 15

⇒ 21 = 3a

⇒ a = 21/3 = 7 సెం.మీ

భూమికి సమాంతరంగా ఉండే పొడవు 7 సెం.మీ.
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