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.
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OpenStudy (starriebaby):
Somebody help
alones (alones):
Umm a picture of rectangle shown?
OpenStudy (starriebaby):
there u go
OpenStudy (starriebaby):
r u still there
OpenStudy (starriebaby):
@Ms-Brains
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OpenStudy (starriebaby):
i tagged u
OpenStudy (mjdennis):
I don't understand. What is the question?
MsBrains (ms-brains):
I don't think I'll be much help. Maybe @Mehek14 or @Vocaloid will be able to assist you better!
Vocaloid (vocaloid):
i've seen this problem before, it's asking for the unshaded area
Vocaloid (vocaloid):
you want to divide the shaded area into easy shapes (like rectangles and triangles) to find the area of
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Vocaloid (vocaloid):
|dw:1464889775233:dw|
Vocaloid (vocaloid):
|dw:1464889838755:dw|
OpenStudy (starriebaby):
and shaded area
Vocaloid (vocaloid):
what's the area of the triangle if the height is 3 and the base is 10
OpenStudy (starriebaby):
30
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Vocaloid (vocaloid):
not quite
Vocaloid (vocaloid):
it's a triangle so
area = (1/2) * base* height = ?
OpenStudy (starriebaby):
15
Vocaloid (vocaloid):
good
Vocaloid (vocaloid):
|dw:1464890038783:dw|
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Vocaloid (vocaloid):
what's the area of the small rectangle if the length is 10 and the width is 1?
OpenStudy (starriebaby):
sorry my computer was being stupid
OpenStudy (volleyballlover55):
@Vocaloid ??
OpenStudy (starriebaby):
10???
Vocaloid (vocaloid):
good
now, we move on to the last rectangle
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OpenStudy (starriebaby):
k
Vocaloid (vocaloid):
|dw:1464890264550:dw|
Vocaloid (vocaloid):
width is 2, length is 8, area = ?
OpenStudy (starriebaby):
8
OpenStudy (starriebaby):
is that right or nah
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Vocaloid (vocaloid):
width * length = ?
OpenStudy (starriebaby):
16
Vocaloid (vocaloid):
good
so,
shaded = the sum of those three numbers we found earlier
Vocaloid (vocaloid):
= 15 + 10 + 16 = 41
Vocaloid (vocaloid):
for unshaded, we subtract
area of the whole rectangle - shaded
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OpenStudy (starriebaby):
k
Vocaloid (vocaloid):
the whole rectangle is
16 by 8, giving us an area of 128
so unshaded = 128 - 41