Question

Out of two figures if one has larger area, then its perimeter need not to be larger than the other figure.

Options

• True

• False

Answer 1

This statement is True.

Explanation:

• Area is the measure of the space inside a figure, while perimeter is the measure of the length of the boundary of the figure.

• Two shapes can have the same perimeter but different areas or they can have different perimeters for the same area.

For example:

• A square of side 10 cm has:

  • Perimeter = 40 cm

  • Area = 100 cm²

• A rectangle of 1 cm by 100 cm has:

  • Perimeter = 202 cm  ...(Much larger)

  • Area = 100 cm²  ...(Same)

So, a figure with a larger area can have a smaller perimeter and a figure with a smaller area can have a larger perimeter.