7. The perimeter of rectangle is 40 cm. What
would be its dimensions if its area be the
maximum.
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Answer:
Let l and b are the sides of rectangle. <br>
<br>
…(1) <br> If the area of rectangle is A, then <br>
<br>
[From eq. (1)] <br>
<br>
<br> For maxima/minima <br>
And
<br>
, is maximum. <br> Therefore, for maximum area, the sides of rectangle are 10 cm and 10 cm.
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