Question

What is the area of the figure below​

Answer 1

Option A

Explanation:

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

Area of ΔABH =
`(1)/(2)(\text{Base})(\text{Height})`

=
`(1)/(2)(6)(8-5)`

= 9 in²

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

=
`(1)/(2)(6+4)(5)`

= 25 in²

Area of ΔDEF =
`(1)/(2)(8)(6)`

= 24 in²

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

= 58 in²

Option A will be the correct option.