# Math Help - Area of a crazy 5 sided figure

1. ## Area of a crazy 5 sided figure

Can someone help me with finding area? I know it is divided into three triangles.

2. Assuming those corners are 90 degrees...

3. Could you explain that in more detail, please? To find the area I would mulitply sqrt (41 x 20)then /2 .. Wouldn't that give me the area of the larger triangle?

4. Originally Posted by KevinVM20

Can someone help me with finding area? I know it is divided into three triangles.
I've divided the area into a rectangle and a right triangle. (see attachment)

1. According to Pythagorean theorem the right triangle has a hypotenuse of 15 and the legs (20 - 8) and 9.

2. Consequently the rectangle has the demensions $8 \times 19$

3. The complete area is:

$a = 8 \cdot 19 + \dfrac12 \cdot 9 \cdot 12 = 206$