Respuesta :

I think the answer is c 52.5

Area of the composite figure will be 52.5 cm².

Area of the composite figure,

  • Divide the figure into small parts of different shapes.
  • Add the areas of the divided figures.

Given composite figure is divided into two parts (1) triangle ABC (2) Rectangle DEFG

Area of ΔABC = [tex]\frac{1}{2}(AB)(BC)[/tex]

                        = [tex]\frac{1}{2}(5)[8-(1+2)][/tex]

                        = [tex]\frac{1}{2}(5)(5)[/tex]

                        = 12.5 cm²

Area of rectangle DEFG = Length × Width

                                        = 8 × 5

                                        = 40 cm²

Area of the composite figure = Area of triangle ABC + Area of DEFG

                                                = 12.5 + 40

                                                = 52.5 cm²

       Therefore, area of the composite figure will be 52.5 cm².

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