(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

24 square inches

Step-by-step explanation:

We are given Image of letter E with height of 12 and width of 7

Inside space of height of 5 and width of 6

Initially calculate the area of rectangle ABKL = length *width = 12*7= 84 square inches

Now to get the area of given figure subtract the area of rectangle CDFE and HGJI from the rectangle ABKL

Area of CDEF = Area of HGJI because the length and width of the rectangles is same

Thus Area of CDEF = length *width =5*6 = 30 square inches

Thus the Area of HGJI = 30 square inches

Now subtract the area of both rectangles from the area of rectangle ABKL

⇒84-(30+30)

= 24 square inches .

Hence  the area of given figure LETTER E = 24 square inches .

24 units

step-by-step explanation: