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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


What Is The Area Of The Hexagon 5m 4 M 4 M 12 M 5m 60 M 120 M 2 106 M 68 M 2 class=

Sagot :

Answer:

68 square meters

Step-by-step 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):

[tex]A = \frac{1}{2} (b_{1}+b_{2})h[/tex]

Top trapezoid:

[tex]A = \frac{1}{2} (5 + 12)4\\A = \frac{1}{2} (17)4\\A= \frac{1}{2} (68)\\A = 34[/tex]

Bottom trapezoid (identical to the top trapezoid):

[tex]A = \frac{1}{2} (5 + 12)4\\A = \frac{1}{2} (17)4\\A= \frac{1}{2} (68)\\A = 34[/tex]

Add the areas together:

34 + 34 = 68