# How to findtheareaofaparallelogram,acircle,andatriangle!

## FindTheAreaOfAParallelogram,ACircle,AndATriangle!

4

STEPS

TOOLS

If you do not have 1cm grid paper, you can pretend the 0.64 cm grid paper is 1 cm.

For those of you who are confused about the title, I had to get a bit creative because there is a character limit. (Curse you, Snap Guide.)

Snap your pencil lead in the process.

Repeat steps 2 and 3 twice.

Choose one of the following expressions, and grunt it, cry it, and/or scream it etc. Before trying to solve the problem. 1. Uggghh... I don't get it! 2. It's so confusing! 3. OMG it's so hard!

Give up, use neighbors erasable pen.

After staring at the ceiling for 5 minutes, realize that you are drooling, then get started.

Example

Draw a horizontal line on your grid paper using your ruler. (Any length) (Horizontal=A flat line)

Draw another line with the same length under or above the first line using your ruler, but, the second line cannot be directly on top of the first.

Draw lines using your ruler on both ends of the two lines to connect them.

Measure the top or bottom line for the base of the parallelogram, and measure the height using your ruler.

(Note: not the lines on the side, because they are longer than the actual height, measure directly from the top line to the bottom line to get the height)

Times the base with the height.

Now you have the area of your parallelogram! (Remember to add the squared sign)

Now the triangle, draw a line on your graph paper using your ruler. (Make sure that the ends of the line are at the intersection of the lines of your graph paper)

Draw another line that is connected to the first.(Make sure that the ends of the line are at the intersection of the lines of your graph paper)

Draw a third line that connects the first and second line, therefore making a triangle. (Make sure that the ends of the line are at the intersection of the lines of your graph paper)

Measure the bottom line, which is the base using your ruler.

Measure the height of the triangle. (Again, not the side lines, it's higher than the actual height, you measure the height by measuring from the highest vertex to the base)

(A vertex is the point where two lines meet in a shape)

Times the base by the height, then you get the area of the related parallelogram.

(The related parallelogram of a triangle is when the same triangle is reflected and stacked on top each other)

Divide the area from the related parallelogram by two to get the area of the triangle. (Because the related parallelogram is double the area of the triangle)

And now you have the area of a triangle!

Now the circle, draw a circle using a compass.

Realize that you had broken your pencil in anger, borrow neighbors sharp pencil instead.

Insert the pencil into the hoop on the side of the compass, tighten the screw to secure the pencil.

Press the pin at the end of the compass into the paper, where you want the center of your circle to be.

Rotate the paper until a full circle is made.

Measure the diameter of the circle. (The diameter of a circle is the length of the center of the circle)

Times the diameter by pi. (Pi is a mysterious number that does not have any patterns or an end, every time people divide the circumference by the diameter, they always get this number, 3.141592653 ex)

Now you have the perimeter of the circle, but since it's a circle, it's called a circumference.

Now the area, divide the diameter you found in step 51 by two, and now you have the radius of the circle because the radius is always half the diameter.

Times the radius by it self, so squaring it.

Times the answer you got from step 58 by pi.

Now you have the circumference and the area of a circle!

Answer the following question.

Grant has a parallelogram shaped house, (He got a bad deal) a circular pool, and a triangular hot tub. What is the area of all of them combined?

- 1.0 Pencil
- 1.0 Pencil sharpener
- 1.0 Eraser
- 1.0 Compass
- 1.0 Ruler
- 1.0 Brain (functioning)
- 1.0 Human body (functioning)
- 1.0 1 cm Grid paper

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