Describe a method you can use to find the area of the following shape. Provide specific details in your answer, including coordinates and descriptions of shapes used. Then, find the actual area of the figure. (8 points) MEDALS!

Question

anonymous · Answer

attachment

zepdrix · Answer

It's easier to find the area of triangles and rectangles.
Let's make some cuts like this perhaps:

zepdrix · Answer

These shapes might be easier to work with, yes?

anonymous · Answer

Okay

anonymous · Answer

yes

zepdrix · Answer

So ummm start with the big rectangle pieces.
Can you figure out what it's dimensions are by counting the coordinate grid?

anonymous · Answer

38 square units

zepdrix · Answer

For the rectangle?
Hmm it's 6 across the bottom and also a height of 6.

Which I think comes out to an area of 36, yes? :U

anonymous · Answer

ya

zepdrix · Answer

Ok , how bout that small triangle on the far right side.
Do you remember how to calculate area of a right triangle?

anonymous · Answer

4 1/2

zepdrix · Answer

Hmm I'm not sure how you calculated that :U
Doesn't seem quite right.

anonymous · Answer

whats the work for this? I have no idea how to do any of this

zepdrix · Answer

The little triangle on the right,
Area of a triangle is $\Large\bf\sf A=\frac{1}{2}b\cdot h$

Half of the base times the height.
Can you figure out how tall that triangle is?
Count the squares :U

anonymous · Answer

i did and i guess i can't count

anonymous · Answer

im really bad at geometry