Question

What is the area of the polygon enter your answer in the box

43.5 units2
45.5 units2
56.5 units2
49.5 units2

Answer 1

Option (1)

Explanation:

Area of the polygon = Area of CDE + Area of EFG + Area of ABCF

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

=
`(1)/(2)(3)(2)`

= 3 units²

Area of ΔCDE =
`(1)/(2)(5)(1)`

= 2.5 units²

Area of trapezoid ABCF =
`(1)/(2)(b_1+b_2)h`

=
`(1)/(2)(8+11)(4)`

= 38 units²

Area of the given polygon = 3 + 2.5 + 38

= 43.5 units²

Therefore, Option (1) will be the correct option.