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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

(05.03)Calculate the area of the irregular polygon shown below: Image of letter E-example-1

2 Answers

7 votes

Answer:

  • 24 in²

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 in²

Option A is correct.

User Ruudvan
by
8.3k points
6 votes

Answer:

  • A. 24 square inches

Explanation:

Required area is the difference of areas of three rectangles:

  • 12*7 - (5*6 + 5*6) =
  • 84 - 60 =
  • 24 in²

Correct choice is A

User Bhrugesh Patel
by
8.4k points

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