Answer:
112.13 square mm
Explanation:
Decompose the composite figure into familiar shapes. One such decomposition is shown in the attached figure
There are four familiar shapes
A semicircle and 3 rectangles
The diameter of the semicircle = 6 mm and therefore its radius is 3mm
Area of the semicircle = 1/2 x area of circle = 1/2 x π x 3²
= 1/2 x 3.14 x 9
= 14.13 square mm
The rectangle below the semi circle has height 5 mm and width 10 mm
Area of this rectangle= 5 x 10 = 50 square mm
The rectangle at the bottom left has width = 6 mm and height = 7mm
Area of this rectangle = 6 x 7 = 42 square mm
The bottom right rectangle has width 2 mm and height 3 mm
Area of this rectangle = 2 x 3 = 6 square mm
Area of the three rectangles = 50 + 42 + 6 = 98 square mm
Total area of composite figure
= Area of 3 rectangles + Area of semicircle
= 98 + 14.13
= 112.13 square mm