tw101
  • tw101
I would really appreciate the help. I dont understand how to get the base x height since the shape is different. Find the area of the image below: (4 points) 41 square units 44 square units 52 square units 56 square units
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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tw101
  • tw101
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anonymous
  • anonymous
Hello @tw101 ! You're right, this shape is definitely irregular. With this type of figure, we can actually split it into multiple shapes, and find the area of each of these individually (base x height). We could then simply add them all together in the end to find the overall area. So, look again closely at this figure. Can you divide it into two regular shapes?
tw101
  • tw101
hmm.. a triangle and a square?

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anonymous
  • anonymous
Yes! Imagine a little dotted line separating the two, and for now we're going to look at them as separate.
tw101
  • tw101
like if we seperated the shape at point y=5
anonymous
  • anonymous
Yes! Now do you know the equation for calculating the area of a triangle?
tw101
  • tw101
then it would make a triangle and square right?
tw101
  • tw101
(1/2) bh right?
anonymous
  • anonymous
Correct. So now, what you have to do is find the area of the square, then find the area of the triangle. After, add these two together to get your answer.
tw101
  • tw101
okay, so for the triangle is the base side BA?
tw101
  • tw101
and then the height AC?
tw101
  • tw101
The square would be 4 points * 4points= 16
anonymous
  • anonymous
Not quite. Since we just split the shape up, the sides don't need official names like BA, AC etc. So, this dotted line is your base. Just count the squares to find its value. The height of the triangle would be the line going from A up to the end of the dotted line. |dw:1434831426360:dw|
anonymous
  • anonymous
But you are correct with the square!
anonymous
  • anonymous
|dw:1434831664292:dw| this is the height
anonymous
  • anonymous
for the triangle
tw101
  • tw101
Oh okay! Sorry my internet is a bit slow, I didnt see your reply.
anonymous
  • anonymous
It's all good! I hope this is making sense
tw101
  • tw101
So can i use the new dotted line as the base?
tw101
  • tw101
yes its beginning to.
anonymous
  • anonymous
Yep, so the base of the triangle is 10, times the height of the triangle which is 5. And since it's a triangle, now we must divide by 2. Try this and tell me what you got
tw101
  • tw101
25
tw101
  • tw101
@elxation so it would be 41 right?
tw101
  • tw101
25+16=41
anonymous
  • anonymous
Correct :)
tw101
  • tw101
Thank you so much!:) I appreciate it so much. I will fan and medal. Whatever it is haha.
anonymous
  • anonymous
Thank you! I'm here to help whenever :D Just tag me and i'll try my best! Thanks for the fan and medal!

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