Question

Find the area of QRS. Round the answer to the nearest tenth.

Answer 1

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 = $\frac{1}{2}\text{(a.b)sinC}$

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 = $\frac{1}{2}\text{(a.b)sinC}$

                        = $\frac{1}{2}{(9\times 6)\text{sin}(110^{\circ})}$

                        = 25.37

                        ≈ 25.4 square units

Therefore, Option C will be the answer.