jacobciezki
  • jacobciezki
What is the area of the figure?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
jacobciezki
  • jacobciezki
one sec
jacobciezki
  • jacobciezki
http://static.k12.com/calms_media/media/1564500_1565000/1564707/1/da50a8e105c95ba2b02d0c060fa79b0955c72380/MS_IMB-1401012-1100604.jpg
jacobciezki
  • jacobciezki
there

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More answers

SolomonZelman
  • SolomonZelman
|dw:1436297142209:dw|
SolomonZelman
  • SolomonZelman
|dw:1436297153477:dw|
SolomonZelman
  • SolomonZelman
what is this length that I marked with a question mark? how long is it, do you know?
jacobciezki
  • jacobciezki
idk the whole line is 17
SolomonZelman
  • SolomonZelman
yes, and you know that up to that point the length is 12
SolomonZelman
  • SolomonZelman
so the little segment that I marked is how long?
jacobciezki
  • jacobciezki
um 5
SolomonZelman
  • SolomonZelman
yes, exactly:)
SolomonZelman
  • SolomonZelman
Now I will re-write the picture.
jacobciezki
  • jacobciezki
ok
jacobciezki
  • jacobciezki
soo
SolomonZelman
  • SolomonZelman
|dw:1436297366908:dw|
SolomonZelman
  • SolomonZelman
that is all you need to know, and now we will split this shape into two different shapes. - triangle - trapezoid
SolomonZelman
  • SolomonZelman
|dw:1436297509433:dw|
jacobciezki
  • jacobciezki
how you do that
SolomonZelman
  • SolomonZelman
|dw:1436297594485:dw|
SolomonZelman
  • SolomonZelman
Can you find the area of this triangle here?
jacobciezki
  • jacobciezki
umm 360
SolomonZelman
  • SolomonZelman
When finding the area of a triangle, we apply the following formula. \(\large \displaystyle {\rm Area}=\frac{({\rm base})\times({\rm height}) }{2}\) `(you were almost correct)`
jacobciezki
  • jacobciezki
180
SolomonZelman
  • SolomonZelman
yes
SolomonZelman
  • SolomonZelman
So the area of the triangle is 180.
SolomonZelman
  • SolomonZelman
Now the trapezoid.
SolomonZelman
  • SolomonZelman
Whenever we have a trapezoid with bases \({\rm B}_1\) and \({\rm B}_2\), and a hieght \({\rm H}\), we apply this formula: (below) \(\displaystyle \large {\rm Area}=\left(\frac{{\rm B}_1~+~{\rm B}_2}{2}\right)\times {\rm H}\)
SolomonZelman
  • SolomonZelman
|dw:1436298221879:dw|
SolomonZelman
  • SolomonZelman
So your bases are 14 and 18 (doesn't matter which one you assign \({\rm B}_1\) and which you assign \({\rm B}_2\)). And your height is 5. ---------------------------------------------------- \({\rm B}_1\) and \({\rm B}_2\) \(\huge \rightarrow\) \(14\) and \(18\) \({\rm H}=5\) ---------------------------------------------------- Now plug in this into the formula (below). \(\displaystyle \large {\rm Area}=\left(\frac{{\rm B}_1~+~{\rm B}_2}{2}\right)\times {\rm H}\)
jacobciezki
  • jacobciezki
80 ?????????????????//
jacobciezki
  • jacobciezki
what is it 180 188 or 80
SolomonZelman
  • SolomonZelman
|dw:1436298631302:dw|
SolomonZelman
  • SolomonZelman
So the area of the trapezoid is 80 (and recall that the area of the triangle is 180)
SolomonZelman
  • SolomonZelman
|dw:1436298718423:dw|
SolomonZelman
  • SolomonZelman
so then if triangle is 180 and trapezoid is 80, the entire figure has an area of?
jacobciezki
  • jacobciezki
260
wil476003
  • wil476003
The triangle would not be 180 it is 108 becuase 9 times 12 equals 108 and then you divide it by two to get 54 and then you multiply it by 2 so the full answer would be 188
jacobciezki
  • jacobciezki
SolomonZelman
SolomonZelman
  • SolomonZelman
yes I allowed an error by a triangle
SolomonZelman
  • SolomonZelman
tnx for correcting me @wil476003 the height of the triangle is 12. So, Area (of the triangle) = (12 • 18) ÷ 2 = 108
SolomonZelman
  • SolomonZelman
I apologize for my mistake, and for my departures. I am cooking for my family (or at least trying to), and for this reason I had to leave for undefined periods of time.
SolomonZelman
  • SolomonZelman
see why triangle has an area of 108?
jacobciezki
  • jacobciezki
yea
SolomonZelman
  • SolomonZelman
Then the entire shape = triangle + trapezoid = 108 + 80 = 188 (as wil476003 previously asserted)
SolomonZelman
  • SolomonZelman
gtg again
SolomonZelman
  • SolomonZelman
sory, bye

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