ഈ വിഷമചതുര്ഭുജ (ട്രപ്പീസോയിഡ്) പൂന്തോട്ടത്തിന്റെ വിസ്തീർണ്ണം എന്താണ്? (എല്ലാ അളവുകളും സെന്റിമീറ്ററിലാണ്)

NTPC-30-03-2016-Shift-3 solutions - Reviewed images Q6

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NTPC Tier I (Held On: 30 Mar 2016 Shift 3)
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  1. 60 ചതുരശ്ര സെ.മീ.
  2. 180 ചതുരശ്ര സെ.മീ.
  3. 210 ചതുരശ്ര സെ.മീ.
  4. 240 ചതുരശ്ര സെ.മീ.

Answer (Detailed Solution Below)

Option 4 : 240 ചതുരശ്ര സെ.മീ.
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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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നൽകിയിരിക്കുന്നചിത്രത്തിൽ നിന്ന്,

NTPC-30-03-2016-Shift-3 solutions - Reviewed images Q6a

ΔBEF ൽ നിന്ന്,

BF 2 = BE 2 + EF 2, എന്നത് ലഭിക്കും 

13 2 = 12 2 + EF 2

⇒ EF 2 = 13 2 - 12 2 = 169 - 144 = 25

EF = 5 സെ.മീ.

ചിത്രത്തിൽ നിന്ന്,

⇒ CD = EF = 5 സെ.മീ, AB = DE = 15 സെ.മീ

CF = CD + DE + EF = 5 + 15 + 5 = 25 സെ.മീ.

ട്രപസോയിഡലിന്റെ വിസ്തീർണ്ണം = ½ × BE × (AB + CF) = ½ × 12 (15 + 25) = 240 ചതുരശ്ര സെ.മീ.

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