Answer:
A. 12 in^2
Explanation:
Polygon ABCD is a kite. The area of a kite is equal to the product of the diagonals divided by 2.
One diagonal is segment AC.
AC = AE + CE = 2 + 2 = 4
The other diagonal is segment BD.
BD = BE + ED
BD = BE + 2BE
BD = 3BE
BD = 3(2) = 6
The diagonals measure 4 inches and 6 inches.
area = diagonal1 * diagonal2/2
area = 4 * 6 /2
area = 24/2
area = 12
Answer: A. 12 in^2