Question

What is the area of the figure below​

Answer 1

Answer:

Option A

Step-by-step explanation:

Area of the composite figure = Area of ΔABH + Area of BCGH + Area of ΔDEF

Area of ΔABH = $\frac{1}{2}(\text{Base})(\text{Height})$

                        = $\frac{1}{2}(6)(8-5)$

                        = 9 in²

Area of the trapezoid = $\frac{1}{2}(CG+BH)(\text{Distance between these lines})$

                                    = $\frac{1}{2}(6+4)(5)$

                                    = 25 in²

Area of ΔDEF = $\frac{1}{2}(8)(6)$

                       = 24 in²

Therefore, area of the given figure = 9 + 25 + 24

                                                          = 58 in²

Option A will be the correct option.