Question

Area of Composite Figures

Answer 1

Answer:

1) 147

2) 87$m^{2}$  

Step-by-step explanation:

1) Area of triangle = × base length × height

= $\frac{1}{2}$ × 14 × 10

= 70 $m^{2}$

Area of a semicircle = $\frac{\pi r^{2} }{2}$ ( r is the radius)

Radius = half of diameter = $\frac{14}{2}$ = 7m

Area of semicircle = $\frac{\pi 7^{2} }{2} = \frac{\pi49 }{2}$

= 77$m^{2}$ ( Nearest whole number )

Total area = 77 + 70 = 147$m^{2}$

2) Divide the shape into 2 rectangles

Area of a rectangle = length × width

Rectangle 1 = 7 × ( 3+3+5 )

= 7 × 11 = 77$m^{2}$

Rectangle 2 = 2 × 5

= 10$m^{2}$

Total Area = 77 + 10 = 87$m^{2}$

Answer 2

Answer:

1) 147

2) 87

Step-by-step explanation: