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Mathematics 19 Online
OpenStudy (anonymous):

What is the area of the polygon below?

OpenStudy (anonymous):

http://prntscr.com/35yw5k

OpenStudy (ipwnbunnies):

Break it up into two rectangles. Imagine a line going straight through the middle. You'll get a left rectangle and a right rectangle.

OpenStudy (anonymous):

Okay, So I got 20x20 for the first one :\ am i close

OpenStudy (ipwnbunnies):

No...Try again. What are you looking at? For our left rectangle, one side is given to be 20 units. And when we draw that imaginary line through the middle, we can see that the short side is 9 units.

OpenStudy (anonymous):

Oh so 20x9?

OpenStudy (ipwnbunnies):

Yes, that's the area of the rectangle. And the dimensions for our right rectangle are given. So when we add up the two areas, we get the total area of the polygon.

OpenStudy (anonymous):

Which is 351!? :D?

OpenStudy (anonymous):

Or am I off

OpenStudy (ipwnbunnies):

What area did you get for our right rectangle?

OpenStudy (anonymous):

Wait I multiplied wrong, Is it 288? And the left side I did 16

OpenStudy (ipwnbunnies):

What? No, we found the left rectangle to be 180 units squared area. The dimensions of the right rectangle are 16, the long side, and 9, the short side.

OpenStudy (anonymous):

Oh so bascially 180 + 180 right?

OpenStudy (ipwnbunnies):

No, what's the area of the rectangle. The picture gives you the dimensions of it. 16 is the long side and 9 is the short side.

OpenStudy (ipwnbunnies):

For the right rectangle. Don't guess, it's easy. You just have to visualize breaking the figure into two shapes.

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