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

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 = x base x height

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

= +

566.44 = 441 +

= 125.44

h =

   = 11.2

h = 11.2

Area of the triangle = 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.

it has changed from the width and the height.

step-by-step explanation:

step-by-step explanation :

we know that

the measurement of the outer angle is the semi-difference of the arcs which comprises

in this problem

m< xzy is the outer angle

substitute the values

the measure of angle xoy is equal to

> by central angle

substitute the value