The figure below shows a shaded region and a non-shaded region. Angles in the figure that appear to be right angles are right angles
What is the area, in square feet, of the shaded region?
What is the area, in square feet, of the non-shaded region?

- horsegal244

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- horsegal244

##### 1 Attachment

- horsegal244

@Chumpian

- horsegal244

One sec i need to go check on something but you can write what i need to do! :)

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## More answers

- anonymous

ok see the rectangle that is 8 by 2?

- anonymous

|dw:1437747966464:dw|

- anonymous

@horsegal244 ?

- horsegal244

@Chumpian sorry I'm back i needed to go clean some stuff

- anonymous

all good :)

- horsegal244

K what do i do?

- anonymous

ok so do you see the rectangle that is 8 by 2?

- horsegal244

@Michele_Laino

- horsegal244

Yup! :>

- anonymous

what is the area of it?

- horsegal244

16

- anonymous

ok good

- horsegal244

Now what?

- anonymous

|dw:1437752398174:dw|

- horsegal244

ok

- anonymous

you know its height is 1 but what is it's length?

- horsegal244

10

- anonymous

ok good so the area is?

- horsegal244

10? cause 10 • 1 = 10?

- anonymous

yes :)

- anonymous

|dw:1437752584591:dw|

- anonymous

now all we have left is the triangle

- horsegal244

oh ok

- anonymous

what is the length and height?

- horsegal244

10 by 3

- horsegal244

no

- horsegal244

13?

- anonymous

oh wait..... we are finding area not perimeter lol my bad forget the Pythagorean theorem. sry about that xD

- anonymous

what is the formula for the area of a triangle?

- anonymous

\[A = 1/2(b \times h)\]

- horsegal244

ummmmm

- horsegal244

Lol i really don't understand this question.....

- anonymous

ok well take it one step at a time whats the area of the triangle?

- horsegal244

Um i don't know how to do area of triangles yet..... :c

- anonymous

ok so whats the base and the height?

- horsegal244

10 and 3

- anonymous

ok so in the equation you multiply them whats 10 times 3?

- horsegal244

yes

- anonymous

10 times 3 =? lol

- horsegal244

oh 30

- anonymous

ok then multipled by 0.5? or whats half of 30?

- horsegal244

15

- anonymous

ok Good :) now we add together all the areas

- anonymous

whats 10 + 16 +15?

- horsegal244

41

- anonymous

ok good :) thats the answer to the first part

- horsegal244

ok

- anonymous

the second part wants the area of the non-shaded region

- horsegal244

ok

- anonymous

whats the area of the entire rectangle?

- horsegal244

80

- anonymous

whats 16 times 8?

- horsegal244

128

- anonymous

thats the area of the entire rectangle

- horsegal244

ok so then do i subtract 41 by 120

- anonymous

now all we have to do is subtract the non-shaded region from the shaded region

- anonymous

128 - 41 is?

- horsegal244

Its 79

- anonymous

are you sure :P

- anonymous

128 not 120

- horsegal244

oh

- horsegal244

Its 87 for the real number

- anonymous

Yep 87 is your answer for part 2 :)

- horsegal244

Ok so what should i say on the essay?

- horsegal244

???????????????????

- anonymous

essay?

- Michele_Laino

hint:
the shaded region can beviewed like below:
|dw:1437754376090:dw|

- horsegal244

Thanks @Michele_Laino but we already finished it!

- horsegal244

Yes it is an essay.............

- Michele_Laino

ok! :)

- anonymous

Well you would say the shaded region has an area of 41 ft squared and the non-shaded region has an area of 87 ft squared?

- anonymous

Is that what your looking for?

- horsegal244

I just said the things that we said together like this
The area of the shaded region is 41 feet.
The area of the non-shaded section is 87 feet.
• •
\_____/

- horsegal244

Look good?

- anonymous

It would have been better if you added ft squared not just ft

- horsegal244

ok then ill do that

- horsegal244

Ty!!

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