Question

The figures are similar. The area of the smaller figure is given. Find the area of the other figure.

7 m
5 m
Area of smaller circle 40 m^2

O 28.6 m2
O 78.4 m2
O 140 m2
O 280 m2

Answer 1

78.4 m²

Explanation:

Given:

Side length of smaller figure = 5 m

Corresponding side length of bigger figure = 7 m

Area of the smaller figure = 40 m²

Thus:

Area of bigger figure / area of smaller figure = 7²/5²

Area of bigger figure / 40 = 7²/5²

Area of bigger figure / 40 = 49/25

Multiply both sides by 40

Area of bigger figure = 49/25 × 40

Area of bigger figure = 78.4 m²

Area of the other figure = 78.4 m²