Answer:
The correct answer option is b. Perimeter = 19.2 units, Area = 22 units[tex]^2[/tex].
Step-by-step explanation:
We are given a pentagon ABDEC and we are to find its perimeter.
From the given figure, we can clearly see that the pentagon can be divided into two shapes, a square and a triangle. One side of each of these shapes will be excluded from the perimeter.
Distance of AB = [tex]\sqrt{(4-1)^2+(6-4)^2} = \sqrt{13} =3.6[/tex]
The length of AB and AC are same and the BD, DE and CE are same (4 units).
Perimeter of pentagon ABDEC = 4 + 4 + 4 + 3.6 + 3.6 = 19.2 units
Area = (area of ΔABC) + (area of square BDEC)
= [tex](\frac{1}{2} *4*3)+(4*4)[/tex]
= 22 units[tex]^2[/tex]
