Area of the shaded region is 223.72 square units.
Explanation:
Area of the shaded region = Area of parallelogram - Area of triangle
Area of the parallelogram = base x height
= 23.8 x 15
= 357 square feet
Area of triangle = \frac{1}{2}
2
1
x base x height
Let the height of the triangle be represented by h, applying the Pythagoras theorem;
23.8^{2}23.8
2
= 21^{2}21
2
+ h^{2}h
2
566.44 = 441 + h^{2}h2
h^{2}h
2= 125.44
h = \sqrt{125.44}
125.44
= 11.2
h = 11.2
Area of the triangle = \frac{1}{2}
21 x 23.8 x 11.2 = 133.28
Area of shaded region = 357 - 133.28
= 223.72
Area of the shaded region is 223.72 square units.