Question

Find the area of the given figure.

Answer 1

So hey there! I'll try this time

So you know when we're getting the area of like a square or a circle, we have a formula

But when we get these kind of complicated shapes, we have to break it down into the simpler shapes that we know and solve it like that

Do you follow me?

Answer 2

Yes, for sure!

So if you just had a square, you could use the formula
area = side * side
Or
Area = side^2

Or for a rectangle
Area = base * length

Or for a triangle
Area = 1/2 * base * height

Have you seen some of these formulas before?

Answer 3

7*9=63
63/2=31.5

Answer 4

Yes!

So for question 4
To calculate the total area

We have to find the area of the rectangle and we have to find the area of the triangle

And we then we add it up and that's our total area

Answer 5

Excellent work!! And what's the area of the rectangle?

I'm sure you got that already

Answer 6

12*9=108

Answer 7

108+31.5=139.5

Answer 8

4 is 139.5 cm^2 correct?

Answer 9

Bingo!!! Good job!

Answer 10

So whenever we get these weird shapes and we're asked to find the area, we break it down into the shapes we know

Like a rectangle and a triangle

We find those areas and then add it up

Answer 11

I was still talking about 4 but for 5 we have different shapes

Do you know the formula for the area of a trapezoid?

Answer 12

If you click on the image, it'll pop out and you can read it completely

Answer 13

You basically have the two bases, they're of different lengths

So you average it and multiply it by the height

Answer 14

Not a square, but rectangle. Look at the drawing that InsatiableSuffering made on your previous post

Answer 15

Yes so you'll have to do some calculations to get the right sides

Answer 16

We need to find the height of the trapezoid

Answer 17

That area where I didn't write the number. Do you know how we could find that value?

Answer 18

7.2 is the bigger base like you said, but it won't be the height

Answer 19

Yes it won't be 10

You're in the right direction!! So if you look at the top part of the overall figure, we know that part is 6 so what would the remaining part on the bottom be

10 - 6

Answer 20

Also don't get confused about height as 7.2
Our trapezoid in this question is on its side so it looks a little different from the image with the formula

Answer 21

Are you sure 6 is the short base and 2.8 is the height?

Remember we're looking at the trapezoid on it's side

But step back for a moment

Look at the whole image
You see the top says 6 and the bottom says 10

And you see in our drawing that we cut the figure at the bottom right at 6, so what would the remaining part of it be if it has to add up to 10?

Answer 22

It is 63.2.

Answer 23

Yes, you got it correct!!

Answer 24

For #6

You have to think outside of the box

So you have a square and there's a circle inside it

They want the area of the shade region. How do we get that?

Ez pz

Find the area of the entire square
And you subtract the area of the circle

And that's how you're left with the area of the shaded part - the space inside the square but outside the circle

It wasn't that difficult, was it? So do you know which two formulas to use?

Answer 25

Find the area of the square first

Then you find the area of the circle

And then to get the area that's shades which would be part of the square but not part of the circle

All you do is

Area of square - area of circle

Answer 26

Yes!

And what's the area of the circle

Remember, you have to find the radius first
10 would be the diameter

Answer 27

Yes so find the area now :)

Answer 28

\( Area = \pi r^2\)

Answer 29

Yup, that's what pi equals to
Pi or \(\pi\)

Answer 30

No

\( r^2\)
That's r * r
So 5*5

Answer 31

Yes!

Answer 32

Yes and now subtract that from 100

So what is 100-78.5

Answer 33

21.5?

Answer 34

And you're done! Good job!

How hard was that?

Answer 35

thank you

Answer 36

No problem!