help!

- anonymous

help!

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- anonymous

@Vocaloid

- Vocaloid

post the question please...

- anonymous

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

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## More answers

- Vocaloid

can you try drawing it? this is a bit confusing to understand

- anonymous

ok ill draw it :)

- anonymous

|dw:1440101981696:dw|

- anonymous

@Vocaloid sorry im not the best drawer :)

- anonymous

@Vocaloid please help!

- Vocaloid

|dw:1440102638495:dw|

- Vocaloid

and judging by the problem, I'm guessing that this part is shaded?|dw:1440102795581:dw|

- anonymous

ok then how do we get the answer?

- Vocaloid

well, let's just look at the shaded part for now
|dw:1440103002747:dw|

- Vocaloid

we can split this into two rectangles like so:

- anonymous

ok

- Vocaloid

|dw:1440103070299:dw|

- Vocaloid

|dw:1440103085020:dw|

- anonymous

ok

- Vocaloid

the diagram tells us that rectangle A has length 8 and width 3, so the area of rectangle A = ?

- anonymous

what do i have to do to find the area of A

- Vocaloid

area of a rectangle = length*width = ?

- anonymous

so 24

- Vocaloid

right, now we find the area of rectangle B
length = 2, width = 1, so area of rectangle B = ?

- anonymous

2

- Vocaloid

right, now add the two areas together:
area of A + area of B = ?

- anonymous

25

- Vocaloid

try again...

- anonymous

oh sorry 26

- Vocaloid

right, so 26 is our shaded area

- anonymous

ok now nonshaded?

- anonymous

wait no the answer is 18 for the shaded area

- anonymous

because its a 2 not a 3 .. so
8*2 not 8*3

- Vocaloid

|dw:1440103580816:dw|

- Vocaloid

|dw:1440103611680:dw|

- Vocaloid

unless my drawing is incorrect

- anonymous

oh! so its 26

- Vocaloid

right, let's keep moving...

- anonymous

k

- Vocaloid

now, let's go back to the whole picture|dw:1440103693588:dw|

- anonymous

right

- Vocaloid

we can see that the area of the big rectangle = shaded + unshaded
we have shaded, and we want to find unshaded.
let's start by finding the area of the big rectangle
the rectangle has width 8 and length 16, so area = ?

- anonymous

128

- Vocaloid

right. area of big rectangle = 128
so unshaded = area of big rectangle - shaded = ?

- anonymous

102

- Vocaloid

yup, so we're done

- anonymous

so the nonshaded area is 102 feet

- Vocaloid

right

- anonymous

ok thanks :)

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