Answer:
251.5 square units
Explanation:
You want to know the area of the given pentagonal figure.
Composition
The figure can be decomposed into a (top) triangle that is 21 units wide and (19-8) = 11 units high, along with a (bottom) trapezoid that is 8 units high and has bases of 21 units and 13 units. The area of the figure is the sum of the areas of these parts.
Triangle
The area of the triangle is ...
A = 1/2bh
A = 1/2(21)(11) = 115.5 . . . . square units
Trapezoid
The area of the trapezoid is ...
A = 1/2(b1 +b2)h
A = 1/2(21 +13)(8) = 136 . . . . square units
Pentagon
The area of the pentagon shown is the sum of these areas:
115.5 +136 = 251.5 . . . . square units