Question

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

Answer 1

@AZ

Answer 2

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

Answer 3

no sir/ma'am/fam

Answer 4

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

Answer 5

We have to average the two bases and multiply it by the height

Now, let's plot our points

Answer 6

ok :)

Answer 7

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

Answer 8

ha, desmos is the best lol

Answer 9

Haha I was just about to send the same thing

Answer 10

desmos is awesome

Answer 11

anyway. Back to the teaching-

Answer 12

DE is 2 units long

Answer 13

GF is 1 unit

Answer 14

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

Answer 15

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

Answer 16

3 and 2

Answer 17

I think

Answer 18

What is what

and we're missing one more value

Answer 19

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

Answer 20

We have two bases remember

Answer 21

Good! Yes

Answer 22

So now let's put those numbers into our formula

\(\text{Area} = \dfrac{\text{Base}_1 + \text{Base}_2}{2} \times\text{Height}\)

Answer 23

the area would be 4 units?

Answer 24

3 and 1 are our two bases

2 is our height

Answer 25

Spot on!

Answer 26

woah I did that all mentally

Answer 27

am big brain

Answer 28

Well done :)