State true or false:

If one has a larger perimeter than other figures, then its area need not be larger than the other figure.

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True

False

answer is B.

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Detailed Solution

Here, we have to find if one has a larger perimeter than other figures, then its area need not be larger than the other figure or not.
Perimeter is the sum of all sides of a closed two-dimensional shape, while the area is the region enclosed by that closed shape.
Now, if a shape has a larger perimeter, then its side lengths will also be large.
This implies that they will enclose a larger region, which in turn will lead to them having a larger area.
So, we conclude that if a figure has more perimeter, then its area will also be more.
But this contradicts the given statement.
Hence, the statement is false.
So, if one has a larger perimeter than other figures, then its area should also be larger than the other figure.
Hence, the correct option is (2).

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