Math, asked by Anonymous, 4 months ago

please explain it perfectly please ( find the area of the shaded region in each of the following figures in which the dimensions given are in centimetres )​

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Answered by namrtabajpai47
4

Answer:

To find the area of shaded region we have to use following formula:-

Area of shaded region = Area of outer rectangle - Area of outer rectangle

but in the given question we have so many geometrical shapes inside a rectangle so first we will find the area of outer rectangle then we will find area of all the geometrical shapes that we have inside the rectangle and then we will do subtraction.

Area of outer rectangle = length x breadth = 25 x 12 sq.cm = 300 sq.cm

Area of square that we have inside the rectangle = side x side = 3 x 3

                                                                                  = 9 sq.cm

Area of a triangle = 1/2 x base x height = 1/2 x 6 x 8 = 24 sq.cm

Area of another triangle = 1/2 x 3 x 2 = 3 sq.cm

Area of An equilateral triangle = \sqrt3/4 x side x side =  \sqrt{3 /4 x 10 x 10  

                                                                                   = 25 x \sqrt{3

                                                                                   = 25 x 1.732

                                                                                   = 43.3 sq.cm

Area of inner geometrical shapes = 9 + 24 + 3 + 43.3 sq.cm

                                                       = 79.3 sq.cm

Area of shaded region = Area of outer rectangle - Area of inner geometrical shapes

        = 300 - 79.3 sq.cm

       = 220.7 sq.cm

Answered by Anonymous
12

Answer:

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