Answer:
112 Square Centimeters.
Step-by-step explanation:
The diagram of the problem is attached.
In Right Triangle ADF, we find the length of DF using Pythagoras Theorem.
[tex]10^2=8^2+|DF|^2\\|DF|=\sqrt{100-64} =\sqrt{36} =6cm[/tex]
Therefore:
Base of the Parallelogram =|DF|+|FC| =6+8=14cm
Area of a Parallelogram=Base X Height
Therefore, Area of ABCD=14 X 8
=112 Square Centimeters.
