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(05.03)Calculate the area of the irregular polygon shown below:

Image of letter E with height of 12 and width of 7 and inside space of height of 5 and width of 6. All units are in inches.

24 square inches
44 square inches
54 square inches
84 square inches

0503Calculate The Area Of The Irregular Polygon Shown Below Image Of Letter E With Height Of 12 And Width Of 7 And Inside Space Of Height Of 5 And Width Of 6 Al class=

Sagot :

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Answer:

  • A. 24 square inches

Step-by-step explanation:

Required area is the difference of areas of three rectangles:

  • 12*7 - (5*6 + 5*6) =
  • 84 - 60 =
  • 24 inΒ²

Correct choice is A

Answer:

  • 24 inΒ²

Step-by-step explanation:

We know that:

  • Area of figure = 3(Area of Small Rectangle) + (Area of Long Rectangle)

Solution:

  • Area of figure = 3(6y) + (12 x 1)

Let's side this out for a moment.....

  • 12 = 5 + 5 + (3y)
  • => 12 = 10 + (3y)
  • => 12 - 10 = (3y)
  • => 2 = 3y
  • => y = 2/3

Let's return back to finding the area of figure.....

  • Area of figure = 3(6y) + (12 x 1)
  • => Area of figure = 3(6{2/3}) + (12 x 1)
  • => Area of figure = 3(4) + (12 x 1)
  • => Area of figure = 12 + 12
  • => Area of figure = 24 inΒ²

Option A is correct.

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