Question

Find the area of the shaded region. Round to the nearest hundredth when necessary.

Answer 1

Answer:

Area of the shaded region is 223.72 square units.

Step-by-step 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 = $\frac{1}{2}$ x base x height

Let the height of the triangle be represented by h, applying the Pythagoras theorem;

$23.8^{2}$ = $21^{2}$ + $h^{2}$

566.44 = 441 + $h^{2}$

$h^{2}$ = 125.44

h = $\sqrt{125.44}$

   = 11.2

h = 11.2

Area of the triangle = $\frac{1}{2}$ 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.