Question

(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

Answer 1

• 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.

Answer 2

• 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