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Mathematics 12 Online
OpenStudy (anonymous):

i need help area of complex figures

Directrix (directrix):

Post the figure.

OpenStudy (anonymous):

alright

OpenStudy (anonymous):

OpenStudy (anonymous):

OpenStudy (anonymous):

OpenStudy (anonymous):

OpenStudy (anonymous):

OpenStudy (anonymous):

OpenStudy (anonymous):

that's all i need so i can graduate

Directrix (directrix):

There are six problems here. Let's work the first one together. Then, post the second problem in a new post.

OpenStudy (anonymous):

fine with me

Directrix (directrix):

Look at the attachment. The idea is to "divide and conquer." That is, to divided the given figure into rectangular regions, find the area of each, and then add them together.

Directrix (directrix):

The area of a rectangle is length times width so the red rectangle is 4*1 or 4 square yards in area. @desfields901 The blue rectangle has dimensions 3 by 4. So, what is its area?

OpenStudy (anonymous):

21?

Directrix (directrix):

The order of the digits is reversed. Look at your answer.

Directrix (directrix):

4*3 is not twenty-one

OpenStudy (anonymous):

12

Directrix (directrix):

Right. So, now look at the attachment and answer the addition question on it. Then, we'll be a step closer to your graduation.

OpenStudy (anonymous):

16

Directrix (directrix):

Yes, 16 square yards. I don't know if you're doing option answers or fill in the blank or something else but the units may be required as part of the answer.

OpenStudy (anonymous):

option answer,

OpenStudy (anonymous):

sure and if dont get the simplest thing im sorry bout that i have a little brain problem

Directrix (directrix):

No worries.

OpenStudy (anonymous):

im ready

OpenStudy (anonymous):

red(32) blue(8)

OpenStudy (anonymous):

40

Directrix (directrix):

Yes, that would be square feet if units appear on your option.

OpenStudy (anonymous):

it does

Directrix (directrix):

Now, we are on the third diagram.

OpenStudy (anonymous):

okay

OpenStudy (anonymous):

7.2

Directrix (directrix):

What is the area of the blue 7.2 by 6 rectangle?

OpenStudy (anonymous):

43.2?

Directrix (directrix):

Yes. What is left is a trapezoid which I think can be split into a triangle and a rectangle. Let's see.

OpenStudy (anonymous):

alright

OpenStudy (anonymous):

11.2

Directrix (directrix):

Yes, now to get the area of the triangle. A triangle's area is found by taking 1/2 its base times its height.

OpenStudy (anonymous):

wait , whats the base and height

OpenStudy (anonymous):

8.8?

OpenStudy (anonymous):

wait no, 17.6?

OpenStudy (anonymous):

nvm 8.8

Directrix (directrix):

8.8 is what I got. Now, add these three for the final answer.

OpenStudy (anonymous):

63.3

Directrix (directrix):

That is what I got. Expressed in square centimeters, sometimes written as cm^2

OpenStudy (anonymous):

i got that too

Directrix (directrix):

Ready for #4 ?

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

20

Directrix (directrix):

Yes. What is the area of the blue rectangle?

OpenStudy (anonymous):

36?

Directrix (directrix):

The blue rectangle has dimensions 6 by 12. You cranked out its perimeter. We need area. Try again.

OpenStudy (anonymous):

72 sorry i did 6 by 6

Directrix (directrix):

Look on the diagram and add the two component areas.

OpenStudy (anonymous):

92

Directrix (directrix):

Yes, in square feet. Now for the last one.

Directrix (directrix):

Are there five or six problems here? I saw 5 and now I see 6.

OpenStudy (anonymous):

6

OpenStudy (anonymous):

im lost too

Directrix (directrix):

We're on #5 now. Here goes.

Directrix (directrix):

What is the area of the blue rectangle?

OpenStudy (anonymous):

43.2?

Directrix (directrix):

Yes. The other figure is a triangle with base 9 and height 7.7. What is 1/2 * 9 * 7.7 ? Take half the product of 9 and 7.7.

OpenStudy (anonymous):

138.6?

Directrix (directrix):

1/2 * 9 * 7.7 = 34.65. I think you doubled the product of 9 and 7.7.

OpenStudy (anonymous):

yea i just got tha too i dont kno what i did before

Directrix (directrix):

For the last step, see the attachment.

OpenStudy (anonymous):

77.85

Directrix (directrix):

square mm. I don't know if your answer option rounded to the nearest tenth and got 77.9. Do examine the options carefully.

Directrix (directrix):

Now, for the last one.

OpenStudy (anonymous):

yes it rounded to that

Directrix (directrix):

What is the area of the blue rectangle?

OpenStudy (anonymous):

45

Directrix (directrix):

Yes. What is the area of the red square.

OpenStudy (anonymous):

27

Directrix (directrix):

A square is a 3 by 3 rectangle. The area is not 27.

OpenStudy (anonymous):

9

OpenStudy (anonymous):

sorry i have no idea whats going on

Directrix (directrix):

Now, to add the components to get the final answer.

OpenStudy (anonymous):

thank you so much

Directrix (directrix):

What did you get for the answer?

OpenStudy (anonymous):

i forgot one more if its not to much could we go over that one and if your busy then thank you anyways for the help

OpenStudy (anonymous):

54

Directrix (directrix):

Number 6, excuse me.

Directrix (directrix):

54 square mm, then.

Directrix (directrix):

I will help you with exactly one more of these. So, post it if you are ready.

OpenStudy (anonymous):

this is all i needed

Directrix (directrix):

I thought you said that there is one more. If so, post it, and let's do it.

OpenStudy (anonymous):

OpenStudy (anonymous):

i meant this equation is all i needed

Directrix (directrix):

What is the area of the 18 by 18 rectangle?

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