Question

What is the area of the figure?



A.
152 cm2

B.
209 cm2

C.
266 cm2

D.
380 cm2

Answer 1

Figure?

Answer 2

Ok.

Answer 3

@Nurali @Luigi0210 @Directrix

Answer 4

You can solve this in a variety of steps.

Answer 5

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Answer 6

How would I find the area of the whole thing though?

Answer 7

You can easily make the figure into different shapes. @XainSG

Answer 8

You figure the area of each individual shape and then add them up.

Answer 9

I know this but I don't know how to find the area of the triangles on the bottom.

Answer 10

Area of a triangle:
\[A=\frac{ 1 }{ 2 } \times B \times H\]
B: Base
H: Height

Answer 11

Do I use the 19 at the top?

Answer 12

as the base

Answer 13

Use 19 to find the area of the rectangle.

Answer 14

wait isn't it B x H/2 isn't it you divide by two?

Answer 15

Do you mean this?
\[\frac{ B \times H }{ 2 }\]

Answer 16

yes is that it?

Answer 17

you can also do area of the rectangle - the area of the triangle

Answer 18

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Answer 19

@XainSG
Do you know the formula for a rectangle?

Answer 20

yes B x H

Answer 21

Yes Freckles. That is also possible.

Answer 22

So what is the base and what is the height?

Answer 23

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Answer 24

The height and base are B = 19 and H = 8

Answer 25

Yes.

Answer 26

Plug the values into the formula. A=(B)(H)

Answer 27

I'm sure you could do that.

Answer 28

yes I could and then after that you add them all up?

Answer 29

Yes. You find the area of the rectangle and add it with the area of the other two triangles.

Answer 30

For the rectangle:
\[A=19 \times 8\]

Answer 31

Simple multiplication.

Answer 32

Ok thank you here is a medal and a fan!

Answer 33

Thanks but we still have to do the question.

Answer 34

I know I wil do it and come back with the answer

Answer 35

Okay.

Answer 36

The answer I got was 418cm.

Answer 37

Are you sure you did \(\ 19\times 8\).

Answer 38

yes I did and I got 152. So and 19 x 14 = 266 so divided that by 2 you get 133 then you do the same for the other triangle so the answer is 152 + 133 + 133= 418cm

Answer 39

Area of Rectangle: 152
You got that part correct.

Answer 40

So can you put own the correct equation?

Answer 41

Remember the area of a triangle is \(A=\frac{ 1 }{ 2 } \times B \times H\).

Answer 42

oh ok ummmmm one sec

Answer 43

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Answer 44

I still got 133 as the triangles.

Answer 45

The area of the triangles are both different. One triangle is bigger than the other.

Answer 46

so what would the base of the triangle on the left be?

Answer 47

Exactly. I got stuck at that part. So I divided it like this.
http://prntscr.com/67p2da
We can subtract by the unshaded triangle at the end.

Answer 48

We use the same formula as the rectangle.

Answer 49

Now I realize that @freckles way was a bit easier.

Answer 50

lol just as I expected he joined the room

Answer 51

The side of the rectangle would be 14-8 since we already did the bottom rectangle. The base would be the same.

Answer 52

I really suck at math ;_; sorry my teacher puts me ahead of my grade in questions

Answer 53

\(\ A=6\times 19 - \frac{1}{2}19\times 6\)

Answer 54

Hmm. This is easier than I thought.

Answer 55

\[A=19(14)-\frac{1}{2}(19)(6)\]

Answer 56

Thanks for correcting me again. @freckles

Answer 57

I didn't correct you earlier
I was just saying that there was another way
:p

Answer 58

@xainsg
You there?