Question

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 square inches. do the area of the whole rectangle (7x12) and subtract the two little rectangles (5X6) x 2= 60 so 84-60=24

Answer 2

The area of the irregular polygon is
`24` square inches

Explanation:

we know that

The area of the irregular polygon shown, is equal to the area of the whole rectangle minus the two empty rectangular spaces

so

`A=(7*12)-2*(6*5)\\ \\A=84-60\\ \\A=24\ in^(2)`