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Question 1191170: I need help with this problem. Your time and effort is greatly appreciated.
IMG-8797-1
Answer by math_tutor2020(3817) About Me  (Show Source):
You can put this solution on YOUR website!

This hexagon is composed of two congruent trapezoids.
One trapezoid is mirrored over the blue dashed line to get the other one.

The area of one trapezoid is
A = height*(base1+base2)/2
A = h*(b1+b2)/2
A = 6*(30+16)/2
A = 138
Note I cut the green dashed line in half to get the height.

Therefore, two such trapezoids give an area of 2*138 = 276 square units