വികർണ്ണം 17 സെന്റിമീറ്ററും വീതി 8 സെന്റിമീറ്ററും ഉള്ള ദീർഘചതുരത്തിന്റെ വിസ്തീർണ്ണം എന്താണ്?

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RRB ALP Electrician 22 Jan 2019 Official Paper (Shift 2)
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  1. 120 cm2
  2. 125 cm2
  3. 128 cm2
  4. 136 cm2

Answer (Detailed Solution Below)

Option 1 : 120 cm2
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Detailed Solution

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നൽകിയത്:

ദീർഘചതുരത്തിന്റെ വീതി = 8 സെ.മീ

ദീർഘചതുരത്തിന്റെ വികർണ്ണം = 17 സെന്റീമീറ്റർ

ഉപയോഗിച്ച സൂത്രവാക്യം:

(വികർണ്ണം)2 = (നീളം)2 + (വീതി)2

ദീർഘചതുരത്തിന്റെ വിസ്തീർണ്ണം = നീളം × വീതി

കണക്കുകൂട്ടൽ:

(വികർണ്ണം)= (നീളം)2 + (വീതി)2

⇒ (17)2 = (നീളം)2 + (8)2

⇒ നീളം = √(289 - 64)

⇒ നീളം = √225

⇒ നീളം = 15 സെ.മീ

ദീർഘചതുരത്തിന്റെ വിസ്തീർണ്ണം = നീളം × വീതി 

⇒ 15 × 8

⇒ 120 cm2

∴ ദീർഘചതുരത്തിന്റെ വിസ്തീർണ്ണം 120 cm2 ആണ്.

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