Answer:
Option C
Step-by-step explanation:
Area of a triangle given with measures of 2 sides and angle between these sides will be,
Area of a triangle = [tex]\frac{1}{2}\text{(a.b)sinC}[/tex]
Here, a and b are two sides of the triangle and C is the angle between these sides.
From the figure attached,
a = 6, b = 9 and m∠C = 110°
Substitute these values in the formula,
Area of ΔQRS = [tex]\frac{1}{2}\text{(a.b)sinC}[/tex]
= [tex]\frac{1}{2}{(9\times 6)\text{sin}(110^{\circ})}[/tex]
= 25.37
≈ 25.4 square units
Therefore, Option C will be the answer.
