Question

Find the area of the figure. Assume the figure is made up of triangles.



A.
98 cm²

B.
147 cm²

C.
196 cm²

D.
294 cm²

Answer 1

https://static.k12.com/calms_media/media/1388500_1389000/1388538/1/a157e071a872dd8d52a718a88dd336ade7b7049e/62366_FGA_U3_L7_V2_P.jpg

Answer 2

Hello! I am pretty good with area and I used to be in k12 too! What grade are you in? ^_^

Answer 3

i am in 6th grade

Answer 4

Oh nice! Alright, this question might look a bit tricky but try and break it down to pieces like a puzzle alright? First, try and see how many triangles you see in the shape.

Answer 5

i see 4 triangles

Answer 6

Yes! Good job! So, there are four triangles and two of them have the same measurements as the other two. Let me show you.

Answer 7

ok

Answer 8

See, here

Answer 9

The triangles are sharing the same side length and base length

Answer 10

Do you know the fourmula for the area of a triangle?

Answer 11

*formula

Answer 12

In case you forgot, the fourmula for the area of a triangle is:

\[A=\frac{ b * h }{ 2 }\]
the A stands for Area,
b for base,
and h for height.

Answer 13

So let's try and get the area of the blue triangle first ok?

Answer 14

You with me so far? @kaedaaguirr ?

Answer 15

If you're stuck somewhere, feel free to let me know ^_^

Answer 16

i am here

Answer 17

Alright! Do you want to try and get the area for the blue triangle first or do you want me to show you how to do it first and then you can try the other triganle?

Answer 18

*triangle

Answer 19

can you show me how i know the formula

Answer 20

Alright! :D

Answer 21

i just dont know what to do

Answer 22

So we have the height of the blue triangle and it's base so, we plug in those numbers to the formula and simplify!
\[A=\frac{ 7 * 7 }{ 2 }\]
7 * 7 = 49
so now we have this
\[A=\frac{ 49 }{ 2 }\]
Now, divide 49 by 2 and you'll gett 24.5 as your area for the blue triangle!
Got it so far? :)

Answer 23

yes

Answer 24

Alright so now that you have the area of the blue triangle, and the red triangle has the same measurements as the blue triangle, what do you think the area of the red triangle will be?

Answer 25

24.5

Answer 26

is that right

Answer 27

Yes! Good job!

Answer 28

So now, add those two together. 24.5 + 24.5 = ?

Answer 29

Go ahead, you got it! ^_^

Answer 30

so the answer is 49

Answer 31

For the red and blue triangles yes! Now we are half way done with the question! We have the other two triangles to do. Want to give it a try? It's the same as the red and blue triangles we just did. ^_^ If you're having trouble, just let me know and I'll help ya! :D

Answer 32

ok

Answer 33

Here's the two other triangles to help you ^_^

Answer 34

ok thanks

Answer 35

No problem! Take your time! ^_^

Answer 36

i was thinking letter d is that right

Answer 37

Not quite. Where did you have trouble on with the other two triangles? I'll walk you through. ^_^

Answer 38

Let's go over it again together ok? :)

Answer 39

ok

Answer 40

Let's do the same thing that we did with the red and blue triangles. Let's find the area of the yellow triangle first.
\[A=\frac{ 7 * 14 }{ 2 }\]
7 * 14 = 98
so now we have this
\[A=\frac{ 98 }{ 2 }\]
Now, divide 98 by 2 to get the area of the yellow triangle and you'll get what? Try that part yourself ok? ^_^ If you need help, I'm here!

Answer 41

Did you get your answer? Having trouble?

Answer 42

yes i am having truble

Answer 43

i got 49