anonymous
  • anonymous
help plz for medaal
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
1 Attachment
anonymous
  • anonymous
@mathstudent55 @LynFran @plzzhelpme
anonymous
  • anonymous
@phi

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anonymous
  • anonymous
@enchiladas
mathstudent55
  • mathstudent55
I see a figure, but I don;t see a question.
anonymous
  • anonymous
Find the area of the following shape. You must show all work to receive credit.
anonymous
  • anonymous
@mathstudent55
mathstudent55
  • mathstudent55
Your polygon looks like this. |dw:1439511583508:dw|
anonymous
  • anonymous
yes
mathstudent55
  • mathstudent55
Separate it into smaller well-known shapes and find their areas. Then add up all the areas. By well-known shapes I mean triangles and a rectangle.
anonymous
  • anonymous
can u walk and help me through it
mathstudent55
  • mathstudent55
|dw:1439511729134:dw|
anonymous
  • anonymous
ok
mathstudent55
  • mathstudent55
Look above. I divided the shape into 4 triangles and a rectangle.
anonymous
  • anonymous
ok i see
mathstudent55
  • mathstudent55
|dw:1439511826496:dw|
mathstudent55
  • mathstudent55
Let's start with the rectangle.
mathstudent55
  • mathstudent55
|dw:1439511982395:dw|
mathstudent55
  • mathstudent55
Notice the height of the rectangle is from -3 to -8 on the y-axis. How far is it from -3 to -8?
mathstudent55
  • mathstudent55
|dw:1439512117708:dw|
mathstudent55
  • mathstudent55
The rectangle is 4 by 5, so the area fo the rectangle is A5 = 4 * 5 = 20
mathstudent55
  • mathstudent55
Now let's look at triangle 1. |dw:1439512204247:dw|
mathstudent55
  • mathstudent55
A1 = bh/2 = 2 * 2 / 2 = 2
mathstudent55
  • mathstudent55
A2 = bh/2 = 4 * 2/2 = 4 |dw:1439512246036:dw|
anonymous
  • anonymous
ok
anonymous
  • anonymous
is that all
mathstudent55
  • mathstudent55
We still need triangles 3 and 4.
mathstudent55
  • mathstudent55
|dw:1439512375180:dw|
mathstudent55
  • mathstudent55
A3 = bh/2 = 4 * 2/2 = 4 A4 = bh/2 = 8 * 2/2 = 8
anonymous
  • anonymous
is the are 20
mathstudent55
  • mathstudent55
Now that we have all the small areas, we can find the total area. A = A1 + A2 + A3 + A4 + A5 = 2 + 4 +4 + 8 + 20
mathstudent55
  • mathstudent55
Just the rectangle in the middle is 20. The total area is the area of the rectangle plus the area of the 4 triangles. Just add up all the numbers above.
anonymous
  • anonymous
so its 20
anonymous
  • anonymous
40
mathstudent55
  • mathstudent55
Wait. i just noticed a mistake I made. All the triangles are correct, but I didn't use the correct length for the rectangle. The rectangle is 6 by 4, so its area is A = LW = 6 * 4 = 24 The total area is A = 2 + 4 +4 + 8 + 24 A = 42

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