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Question

If the diagonal of a square measures

16 \sqrt{2}

cm. what is the area of the square in sq. cm?

32 \sqrt{2}

64 \sqrt{2}

128

256

ANSWER : 4

Descrption

<pre>
We know, 
The diagonal of a square 
<math xmlns = "http://www.w3.org/1998/Math/MathML"><mo> = </mo><msqrt><mn>2</mn><mi>a</mi></msqrt><mspace linebreak = "newline"/><mi>A</mi><mi>T</mi><mi>Q</mi><mo>,</mo><mspace linebreak = "newline"/><msqrt><mn>2</mn><mi>a</mi></msqrt><mo> = </mo><mn>16</mn><msqrt><mn>2</mn></msqrt><mspace linebreak = "newline"/><mo>&#x21D2;</mo><mi>a</mi><mo> = </mo><mfrac><mrow><mn>16</mn><msqrt><mn>2</mn></msqrt></mrow><msqrt><mn>2</mn></msqrt></mfrac><mspace linebreak = "newline"/><mo>.</mo><mo>'</mo><mo>.</mo><mo>&#xA0;</mo><mi>a</mi><mo> = </mo><mn>16</mn><mspace linebreak = "newline"/><mo>.</mo><mo>'</mo><mo>.</mo><mo>&#xA0;</mo><mi>T</mi><mi>h</mi><mi>e</mi><mo>&#xA0;</mo><mi>a</mi><mi>r</mi><mi>e</mi><mi>a</mi><mo>&#xA0;</mo><mi>o</mi><mi>f</mi><mo>&#xA0;</mo><mi>t</mi><mi>h</mi><mi>e</mi><mo>&#xA0;</mo><mi>s</mi><mi>q</mi><mi>u</mi><mi>a</mi><mi>r</mi><mi>e</mi><mo>&#xA0;</mo><mspace linebreak = "newline"/><mo> = </mo><msup><mi>a</mi><mn>2</mn></msup><mspace linebreak = "newline"/><mo> = </mo><msup><mn>16</mn><mn>2</mn></msup><mspace linebreak = "newline"/><mo> = </mo><mn>256</mn><mspace linebreak = "newline"/></math>
</pre>

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