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Question
An increase in perimeter of a figure always increases the area of the figure.
Options
True
False
Solution
This statement is False.
Explanation:
 |
 |
| (i) | (ii) |
This is not necessary.
Perimeter of a closed figure is the distance around it while area is the measure of the part of plane or region enclosed by it.
Hence, perimeter of (ii) is greater than that of (i), but its area is smaller than that of (i).
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| (i) | (ii) |
