An ant is moving around a few food pieces of different shapes scattered on the floor.

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For which food-piece would the ant have to take a longer round? Remember, circumference of a circle can be obtained by using the expression where r is the radius of the circle.

A. B.

C.

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Food pieces with larger perimeter would make the ant to take longer round.

Perimeter for:

Shape A = (22/7) × 1.4 + 2.8

= 7.2 cm

Shape B = 2.8 + 1.5 + 1.5 + 4.4

= 10.2 cm

Shape C = 2 + 2 + 4.4

= 8.4 cm

∴ Perimeter is maximum for shape B

solved 5

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