help please

- anonymous

help please

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- anonymous

What is the area, in square feet, of the shaded region?
Enter your answer in the box. square feet
What is the area, in square feet, of the nonshaded region?
Enter your answer in the box. square feet

- anonymous

##### 1 Attachment

- taramgrant0543664

So for the shaded area we need to divide it into three sections two rectangles and a triangle to determine the total area

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## More answers

- anonymous

how do i do that

- taramgrant0543664

The first rectangle we will do is the bottom
A=lw Where A is area, l is length and w is width
So A =8x2=?

- anonymous

so i just multiply 8*2

- taramgrant0543664

Yes that will give you the area of the first rectangle so one of three parts of the shaded section

- anonymous

so its 16

- taramgrant0543664

Yep so that's the first one so let's do the second rectangle or the middle sort of section

- anonymous

ok

- taramgrant0543664

So the second rectangle
A=lw
=(1)(8+2)
We get the 8+2 because the side length is split into two parts so we just have to put them together

- anonymous

so just add 8 plus 2

- taramgrant0543664

Yep for that's all you have to do for that one cause the side length is 1

- anonymous

so 10

- taramgrant0543664

So the last part of the shaded area is the triangle and yes 10 is right for that second rectangle

- anonymous

ok so thats it

- taramgrant0543664

A=bh/2
Where b is the base (8-2-2-1)=3
and h is the height 8+2=10
So
A= (3)(10)/2

- anonymous

sorry i dont understand what that means

- taramgrant0543664

The area of a triangle is represented by
Area= base times height all divided by two
A=bh/2
A=(3)(10)/2
A=30/2
A=15

- anonymous

so i divide them all?

- taramgrant0543664

There are three parts to the shaded area so to find the total area of the shaded section so the total area=16+10+15

- anonymous

oh ok so just add all thre of those

- taramgrant0543664

Yes if you add those three together you will get the total area of the shaded area

- anonymous

which is 41

- anonymous

what about the non shaded area

- taramgrant0543664

So to find the area of the no shaded area first we need to find the total area of the square
A=lw
A=(8)(16)

- anonymous

so add 8 and 16

- taramgrant0543664

You would multiply them together

- anonymous

oh ok

- anonymous

so 128

- taramgrant0543664

Yes so that's the area of both the non shaded area and the shaded area so you just need to subtract the shaded area from that total area to find the non shaded area
So 128-41= the nonshaded area

- anonymous

87

- anonymous

is the shaded area 41?

- taramgrant0543664

Yes that 87 would be the area for the non shaded section

- taramgrant0543664

The shaded area would be 41

- anonymous

THANK YOU SO MUCH

- taramgrant0543664

No problem! Happy to help!

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