కర్ణం 17 సెం.మీ మరియు వెడల్పు 8 సెం.మీ ఉన్న దీర్ఘ చతురస్రం వైశాల్యం ఎంత?

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RRB ALP Electrician 22 Jan 2019 Official Paper (Shift 2)
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  1. 120 సెం.మీ2
  2. 125 సెం.మీ2
  3. 128 సెం.మీ2
  4. 136 సెం.మీ2

Answer (Detailed Solution Below)

Option 1 : 120 సెం.మీ2
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Detailed Solution

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ఇచ్చిన దత్తాంశం:

దీర్ఘచతురస్రం యొక్క వెడల్పు = 8 సెం.మీ

దీర్ఘ చతురస్రం యొక్క కర్ణం = 17 సెం.మీ

ఉపయోగించిన సూత్రం:

(కర్ణం)2 = (పొడవు)2 + (వెడల్పు)2

దీర్ఘ చతురస్రం యొక్క వైశాల్యం = పొడవు × వెడల్పు

లెక్కింపు:

(కర్ణం)2 = (పొడవు)2 + (వెడల్పు)2

⇒ (17)2 = (పొడవు)2 + (8)2

పొడవు = √(289 - 64)

⇒ పొడవు = √225

⇒ పొడవు = 15 సెం.మీ

దీర్ఘ చతురస్రం యొక్క వైశాల్యం = పొడవు × వెడల్పు

⇒ 120 సెం.మీ2

∴ దీర్ఘ చతురస్రం యొక్క వైశాల్యం 120 సెం.మీ2 .
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