Question

What is the area of the hexagon?

5m
4 m
4 m
12 m
5m
60 m ²
120 m 2
106 m ²
68 m 2

Answer 1

68 square meters

Explanation:

The hexagon is made up of two trapezoids. Use the formula to find the area of each trapezoid then add those two areas together.

Area of a trapezoid (add the two bases together, multiply by the height then divide by 2):

`A = (1)/(2) (b_(1)+b_(2))h`

Top trapezoid:

`A = (1)/(2) (5 + 12)4\\A = (1)/(2) (17)4\\A= (1)/(2) (68)\\A = 34`

Bottom trapezoid (identical to the top trapezoid):

`A = (1)/(2) (5 + 12)4\\A = (1)/(2) (17)4\\A= (1)/(2) (68)\\A = 34`

Add the areas together:

34 + 34 = 68