Question

Area of Composite Figures

Answer 1

1) 147

2) 87

Explanation:

Answer 2

1) 147

2) 87
`m^(2)`

Explanation:

1) Area of triangle = × base length × height

=
`(1)/(2)` × 14 × 10

= 70
`m^(2)`

Area of a semicircle =
`(\pi r^(2) )/(2)` ( r is the radius)

Radius = half of diameter =
`(14)/(2)` = 7m

Area of semicircle =
`(\pi 7^(2) )/(2) = (\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)`