Question

Helpppppp pleaseeee I have to ansswer Find the area of the shaded region

Answer 1

Answer:

Area = 6.6 cm²

Step-by-step 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 ]