Find the area of the parallelogram

72

Step-by-step 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