Question

Find the area of the figure below. Round answer to nearest tenth.

Answer 1

`\approx \: 198.1 \: {cm}^(2)`

Explanation:

Given figure consists of a parallelogram and two semicircles with diameters 14 cm and 8 cm

(Opposite sides of a parallelogram are equal in measure and they are the diameters of the semicircles)

Therefore,

Area of the figure = Area of the parallelogram with base 8 cm and height 12 cm + Area of semicircle with radius (14/2 = 7) 7 cm + Area of the semicircle with radius (8/2 =4) 4 cm

`= b * h + (1)/(2) * \pi {(7)}^(2) + (1)/(2) * \pi {(4)}^(2) \\ \\ = 8 * 12 + (1)/(2) \pi(49 + 16) \\ \\ = 96 + (1)/(2) * 3.14 * 65 \\ \\ = 96 + 102.05 \\ \\ = 198.05 \\ \\ \approx \: 198.1 \: {cm}^(2)`