anonymous
  • anonymous
What is the area of this figure? Round your answer to the nearest hundredth. Select the best answer from the choices provided. 84.56 m2 72.01 m2 12.56 m2 59.44 m2
Mathematics
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
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PhantomCrow
  • PhantomCrow
First, you should find the area of the rectangle. The height is 14 and the width is 6. So\[A=14*6\] Then, add that to the areas of each semicircle. Semicircles are half of circles so their areas are half but since we have two semicircles with the same radius, both their areas add up to one. \[A=\pi r^2\]. Now add those two and you have the area of the figure.
PhantomCrow
  • PhantomCrow
I'm sorry, the height is 12, not 14. So A=12*6

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anonymous
  • anonymous
72.01 ?
PhantomCrow
  • PhantomCrow
That's not what I got. What did you plug into your formulas?
anonymous
  • anonymous
I had multiplied it , 72.01 was the closest answer
PhantomCrow
  • PhantomCrow
\[A=12*6\]\[A=72\] That is the area of the rectangle.\[A=\pi r^2\]\[A=\pi(2)^2\]\[A=4\pi\]\[A\approx12.56\] That is the area of the circle (assuming pi equals 3.14) Now add those two and see what you get.

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