Answer:
1) 147
2) 87[tex]m^{2}[/tex]
Step-by-step explanation:
1) Area of triangle = × base length × height
= [tex]\frac{1}{2}[/tex] × 14 × 10
= 70 [tex]m^{2}[/tex]
Area of a semicircle = [tex]\frac{\pi r^{2} }{2}[/tex] ( r is the radius)
Radius = half of diameter = [tex]\frac{14}{2}[/tex] = 7m
Area of semicircle = [tex]\frac{\pi 7^{2} }{2} = \frac{\pi49 }{2}[/tex]
= 77[tex]m^{2}[/tex] ( Nearest whole number )
Total area = 77 + 70 = 147[tex]m^{2}[/tex]
2) Divide the shape into 2 rectangles
Area of a rectangle = length × width
Rectangle 1 = 7 × ( 3+3+5 )
= 7 × 11 = 77[tex]m^{2}[/tex]
Rectangle 2 = 2 × 5
= 10[tex]m^{2}[/tex]
Total Area = 77 + 10 = 87[tex]m^{2}[/tex]
