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একটি বর্গক্ষেত্রে কর্ণের দৈর্ঘ্য 6cm হলে এর ক্ষেত্রফল জত হবে?

12 sq.cm

18 sq.cm

24 sq.cm

36 sq.cm

ANSWER : 2

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<pre> ধরি, বর্গের বাহুর দৈর্ঘ্য  a  সে.মি. 
কর্ণের দৈর্ঘ্য <math xmlns = "http://www.w3.org/1998/Math/MathML"><msqrt><mn>2</mn><mi>a</mi></msqrt></math> সে.মি. এবং ক্ষেত্রফল <math xmlns = "http://www.w3.org/1998/Math/MathML"><msup><mi>a</mi><mn>2</mn></msup></math> বর্গ সে.মি. 
প্রশ্নমতে, <math xmlns = "http://www.w3.org/1998/Math/MathML"><msqrt><mn>2</mn><mi>a</mi></msqrt><mo> = </mo><mn>6</mn></math>
<math xmlns = "http://www.w3.org/1998/Math/MathML"><mo>&#x21D2;</mo><mi>a</mi><mo> = </mo><mfrac><mn>6</mn><msqrt><mn>2</mn></msqrt></mfrac></math>
<math xmlns = "http://www.w3.org/1998/Math/MathML"><mo>&#x21D2;</mo><msup><mi>a</mi><mn>2</mn></msup><mo> = </mo><mo>(</mo><mfrac><mn>6</mn><msqrt><mn>2</mn></msqrt></mfrac><msup><mo>)</mo><mn>2</mn></msup></math>
<math xmlns = "http://www.w3.org/1998/Math/MathML"><mspace linebreak = "newline"/><mo>.</mo><mo>'</mo><mo>.</mo><mo>&#xA0;</mo><msup><mi>a</mi><mn>2</mn></msup><mo> = </mo><mfrac><mn>36</mn><mn>2</mn></mfrac><mspace linebreak = "newline"/><mo> = </mo><mn>18</mn></math>
∴ বর্গটির ক্ষেত্রফল 18  বর্গ সেমি।
</pre>

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