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An increase in perimeter of a figure always increases the area of the figure.

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Question

An increase in perimeter of a figure always increases the area of the figure.

Options

  • True

  • False

MCQ
True or False
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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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Chapter 9: Perimeter and Area - Exercise [Page 278]

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NCERT Exemplar Mathematics Exemplar Class 7
Chapter 9 Perimeter and Area
Exercise | Q 70. | Page 278

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