Answer:
Area = 6.6 cm²
Explanation:
Area of the shaded region =
Area of Rectangle - Area of Trapezoid - Area of circle - Area of Triangle
Area of rectangle = Length x Breadth
= 3 x ( 1.5 + 2 + 1.5)
= 3 x 5
= 15 cm²
Area of the trapezoid = h x ( a + b )/2
= 1.5 x ( 3 + 1)/2
= 1.5 x 2
= 3 cm²
Area of the circle = π x r²
= 3.14 x 1 [diameter, d = 2 cm, r = d/2 =1]
= 3.14 cm²
Area of triangle = (1/2) x base x height
= (1/2) x 3 x 1.5
= 2.25 cm²
Area of the shaded region = 15 - 3 - 3.14 - 2.25
= 6.61 cm²
= 6.6 cm ² [ round to nearest tenth ]