By the Pythagorean theorem, one side of the rectangle has length
.. √(4^2 +1^2) = √17
and the other side has length
.. √(8^2 +2^2) = 2√17
The area of the rectangle is the product of these dimensions,
.. Arect = (√17)*(2√17) = 34 units^2
The parallelogram has side length 6 and height 1, so its area is
.. Apara = 6*1 = 6 units^2
The total area of the figure is
.. Area = Arect +Apara = (34 +6) units^2 = 40 units^2
