Mathematics
Kyky232:

What is the area of trapezoid DEFG with coordinates D (2, 3), E (5, 3), F (3, 1), and G (2, 1)? 2 square units 3 square units 4 square units 8 square units

Kyky232:

@AZ

AZ:

Before we plot the points, do you know the formula for the area of a trapezoid?

Kyky232:

no sir/ma'am/fam

AZ:

I like to use images because it conveys it better than I could with just words and it's easier to get the point across

AZ:

We have to average the two bases and multiply it by the height Now, let's plot our points

Kyky232:

ok :)

AZ:

You do know how to plot points on a graph, right?

Kyky232:

snowflake0531:

ha, desmos is the best lol

AZ:

Haha I was just about to send the same thing

snowflake0531:

desmos is awesome

Kyky232:

anyway. Back to the teaching-

snowflake0531:

DE is 2 units long

snowflake0531:

GF is 1 unit

AZ:

Let's draw in the sides so you can see the shape better

AZ:

Can you tell me the length of the bases and what the height is? You just have to count the blocks in between the points

Kyky232:

3 and 2

Kyky232:

I think

AZ:

What is what and we're missing one more value

Kyky232:

Oh so 3 is the top, 2 is the height, and 1 is the bottom (idk math words)

AZ:

We have two bases remember

AZ:

Good! Yes

AZ:

So now let's put those numbers into our formula $$\text{Area} = \dfrac{\text{Base}_1 + \text{Base}_2}{2} \times\text{Height}$$

Kyky232:

the area would be 4 units?

AZ:

3 and 1 are our two bases 2 is our height

AZ:

Spot on!

Kyky232:

woah I did that all mentally

Kyky232:

am big brain

AZ:

Well done :)