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- nuccioreggie

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- nuccioreggie

The figure below shows a shaded region and a nonshaded region. Angles in the figure that appear to be right angles are right angles.
A picture of a rectangle is shown. The bottom of the rectangle is labeled 16 ft. The right side of the rectangle is labeled 8 ft. At the bottom left side of the rectangle there is a label that reads 2 ft. Inside the rectangle is a shaded region. The bottom of the region is labeled 8 ft and this side is perpendicular to the left side of the rectangle. The right side of the shaded region has a perpendicular line segment extending upward that is labeled 2 ft. At the top of this line segment is another line segment perpendicular to the right that reads 2 ft. At the end of this line segment is a perpendicular line segment extending upward that reads 1 ft. There is a line segment joining the end of this line segment with the top left corner of the rectangle.
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

- nuccioreggie

- nuccioreggie

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## More answers

- nuccioreggie

##### 1 Attachment

- nuccioreggie

Ummm are u there can you help pleease

- anonymous

Just split the shaded region into three separate shapes. Two rectangles and a right triangle. Find the area of each separate area and then add them up. To find the non-shaded area, just take the total area of the rectangle and subtract the area of the shaded region.

- nuccioreggie

Can. You write the answer out for me and explain please

- anonymous

|dw:1433438422559:dw|

- anonymous

|dw:1433438552045:dw|

- anonymous

|dw:1433438627564:dw|

- anonymous

Find areas and add together.

- nuccioreggie

Can u write it outbso i can just calculate it please

- anonymous

All of the info you need to calculate it is right there...

- Michele_Laino

the area of the room is:
16*8=128 feet^2

- nuccioreggie

So for the first one its 128?

- Michele_Laino

no, here is the next step

- nuccioreggie

Ok

- anonymous

The first one is tri+rec1+rec2

- Michele_Laino

|dw:1433439000618:dw|

- Michele_Laino

the area of the shaded region is:
25+16=...

- nuccioreggie

41

- Michele_Laino

ok!

- Michele_Laino

so the area of unshaded region is:
128-41=...

- Michele_Laino

I think that also the method of @LegendarySadist is a good method

- nuccioreggie

So thats the answer for the first one and thats 87

- Michele_Laino

the area of shaded region is 41
whereas the area of non shaded region is 18-41=87

- anonymous

Thanks btw :)

- Michele_Laino

oops..128-41=87

- nuccioreggie

Okk so 21 and 87 is the answer for both right one is 41 and one is 87

- Michele_Laino

answer #1 41 feet^2
answer #2 87 feet^2
as we can see by our reasoning above

- nuccioreggie

Thanks for your help

- Michele_Laino

thanks!! @nuccioreggie @LegendarySadist

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