Question

What is the area of the hexagon?

Answer 1

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):

$A = \frac{1}{2} (b_{1}+b_{2})h$

Top trapezoid:

$A = \frac{1}{2} (5 + 12)4\\A = \frac{1}{2} (17)4\\A= \frac{1}{2} (68)\\A = 34$

Bottom trapezoid (identical to the top trapezoid):

$A = \frac{1}{2} (5 + 12)4\\A = \frac{1}{2} (17)4\\A= \frac{1}{2} (68)\\A = 34$

Add the areas together:

34 + 34 = 68