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Find the area and select one of the answers in the file

Find The Area And Select One Of The Answers In The File class=

Sagot :

Answer:

my best guess would be e i did it and i got an answer a bit higher than e

Step-by-step explanation:

Answer:

Tom Brady

30.2832 m^2 or 26(pi) m^2

Step-by-step explanation:

There are three different shapes (right triangle, rectangle, and half-circle). To find the area of the whole you find the area of all of these things then add them.

Triangle: (axb/2)

  • The first thing we must do is determine the lengths of the triangle.
  • a: Because the diameter of the circle directly across from the triangle we can use this as side a
  • b: To find be we take 10-2 because the 2 is what is used for the rectangle making the 8 what is left over for our side b
  • (axb)/2 = (4x8)/2 = 32/2 = 16 m^2

Rectangle: (lxw)

  • The first thing we will do is confirm the length and width of the rectangle
  • l: The diameter is the length of the rectangle l=4
  • w: Because the top portion of the area meets at the point where the triangle and rectangle converge the width is 2
  • lxw = 4x2 = 8 m^2

Half-Circle: {(pi/2)(r)^2

  • r: The only variable we need is the radius which is just half of the diameter. Therefore r=2
  • {(pi/2)(r)^2} = {(pi/2)(2)^2} = {(pi/2)(4)} = 2(pi) = 6.2832

The Area of the Whole:

  • Triangle: 16 m^2
  • Rectangle: 8 m^2
  • Half-Circle: 2(pi) or 6.2832 m^2
  • 16+8+2(pi) = 26(pi) m^2 OR 16+8+6.2832 = 30.2832 m^2
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