Question

Find the area of the following shape. You must show all work to receive credit. (10 points)

Answer 1

Triangle ABF has base 10 and height 3, so area (1/2)*10*3 = 15.

Trapezoid EBCD has bases 6 and 7 and height 6, so area
.. (6+7)*6/2 = 39

The total area of the figure is
.. 15 +39 = 54 . . . . . square units

Answer 2

$\it \mathcal{A} = \mathcal{A} _{AFE}+\mathcal{A}_{AEB} + \mathcal{A}_{BEDC} = \dfrac{4\cdot3}{2} +\dfrac{6\cdot3}{2} +\dfrac{6+7}{2}\cdot6 = \\ \\ \\ = 6+9+39 = 54$