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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

What is the area of the polygon enter your answer in the box 43.5 units2 45.5 units-example-1
User Annosz
by
7.6k points

1 Answer

5 votes

Answer:

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.

What is the area of the polygon enter your answer in the box 43.5 units2 45.5 units-example-1
User Aleem Ahmad
by
9.0k points

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