Answer:
21.5 square meters
Step-by-step explanation:
Area of the figure = area of the trapezium + area of semicircle
Semicircle:
Diameter = 3 m
Radius r = 3/2 = 1.5 m
[tex]Area = \frac{\pi r^{2}}{2}\\\\=\frac{3.14*1.5*1.5}{2}\\\\=\frac{7.065}{2}\\\\=3.5325[/tex]
= 3.53 m²
Tapezium:
base a = 7 m & b = 5 m
Height = 3 m
[tex]Area=\frac{(a+b)h}{2}\\\\=\frac{(7+5)*3}{2}\\\\=\frac{12*3}{2}\\\\=6*3[/tex]
= 18 m²
Area of the figure = 3.53 + 18 = 21.53 = 21.5 square meters
