anonymous
  • anonymous
help!
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
@Vocaloid
Vocaloid
  • Vocaloid
post the question please...
anonymous
  • 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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Vocaloid
  • Vocaloid
can you try drawing it? this is a bit confusing to understand
anonymous
  • anonymous
ok ill draw it :)
anonymous
  • anonymous
|dw:1440101981696:dw|
anonymous
  • anonymous
@Vocaloid sorry im not the best drawer :)
anonymous
  • anonymous
@Vocaloid please help!
Vocaloid
  • Vocaloid
|dw:1440102638495:dw|
Vocaloid
  • Vocaloid
and judging by the problem, I'm guessing that this part is shaded?|dw:1440102795581:dw|
anonymous
  • anonymous
ok then how do we get the answer?
Vocaloid
  • Vocaloid
well, let's just look at the shaded part for now |dw:1440103002747:dw|
Vocaloid
  • Vocaloid
we can split this into two rectangles like so:
anonymous
  • anonymous
ok
Vocaloid
  • Vocaloid
|dw:1440103070299:dw|
Vocaloid
  • Vocaloid
|dw:1440103085020:dw|
anonymous
  • anonymous
ok
Vocaloid
  • Vocaloid
the diagram tells us that rectangle A has length 8 and width 3, so the area of rectangle A = ?
anonymous
  • anonymous
what do i have to do to find the area of A
Vocaloid
  • Vocaloid
area of a rectangle = length*width = ?
anonymous
  • anonymous
so 24
Vocaloid
  • Vocaloid
right, now we find the area of rectangle B length = 2, width = 1, so area of rectangle B = ?
anonymous
  • anonymous
2
Vocaloid
  • Vocaloid
right, now add the two areas together: area of A + area of B = ?
anonymous
  • anonymous
25
Vocaloid
  • Vocaloid
try again...
anonymous
  • anonymous
oh sorry 26
Vocaloid
  • Vocaloid
right, so 26 is our shaded area
anonymous
  • anonymous
ok now nonshaded?
anonymous
  • anonymous
wait no the answer is 18 for the shaded area
anonymous
  • anonymous
because its a 2 not a 3 .. so 8*2 not 8*3
Vocaloid
  • Vocaloid
|dw:1440103580816:dw|
Vocaloid
  • Vocaloid
|dw:1440103611680:dw|
Vocaloid
  • Vocaloid
unless my drawing is incorrect
anonymous
  • anonymous
oh! so its 26
Vocaloid
  • Vocaloid
right, let's keep moving...
anonymous
  • anonymous
k
Vocaloid
  • Vocaloid
now, let's go back to the whole picture|dw:1440103693588:dw|
anonymous
  • anonymous
right
Vocaloid
  • 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
  • anonymous
128
Vocaloid
  • Vocaloid
right. area of big rectangle = 128 so unshaded = area of big rectangle - shaded = ?
anonymous
  • anonymous
102
Vocaloid
  • Vocaloid
yup, so we're done
anonymous
  • anonymous
so the nonshaded area is 102 feet
Vocaloid
  • Vocaloid
right
anonymous
  • anonymous
ok thanks :)

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