Question

Analyze the perimeter of the figure shown (Pi = 3.14).

Write the answer to the nearest centimeter.

Answer 1

30

Explanation:

4 squares = 14 cm

1 square = 14÷4 = 3.5 cm.

Radius = 3.5 cm

Length of 2 small arcs = 90/360 × 2 pi R = 1/4 × 2 × 3.14 × 3.5 = 5.495 cm (here R is one square)

Length of 2 big arcs = 90/360 × 2 pi R = 1/4 × 2 × 3.14 × 7 = 10.99 cm (here R is two squares)

Length of 4 lines = 4 × 3.5 = 14 cm

Perimeter = total length = 14 + 10.99 + 5.495 = 30.485 = 30 cm (nearest cm)