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olga55 [171]
3 years ago
10

Have to find the area of the figure please help!

Mathematics
1 answer:
gayaneshka [121]3 years ago
6 0

Answer:   Area = 60\sqrt{2}

============================================================

Explanation:

The triangle on the right side is a 45-45-90 triangle

The hypotenuse is 8, so the leg length is \frac{8}{\sqrt{2}} = \frac{8\sqrt{2}}{2} = 4\sqrt{2}

This is the height of the parallelogram. The base is 15 which is always perpendicular to the height, and vice versa.

The area of this parallelogram is therefore, \text{base*height} = 15*4\sqrt{2} = 60\sqrt{2}

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