Answer:
72
Explanation:
We can’t start solving the area of the parallelogram till we know the height
Since the height isn’t given, we’ll need to use Pythagorean Theorem
Pythagorean Theorem: a^2 + b^2 = c^2
where a = 6 b = the height and c = 10
6^2 + b^2 = 10^2
36 + b^2 = 100
b^2 = 100 - 36
b^2 = 64
Then sqrt rt 64
Sqrt rt of 64 = 8
so the height is 8
Now multiply the base x height
6 x 8 = 48
Now divided by 2
48 divided by 2 = 24
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New base = 12 - 6
New base = 6
Area = 1/2 bh
Area = 1/2 (6)(8)
Area = 1/2 48
Area = 24
And then to the last shape will be another 24 so basically we had the left triangle the right triangle and the middle one
24 + 24 + 24 = 72