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
