Question

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

A.
10.8 square units
B. 12.4 square units
C. 25.4 square units
D. 50.7 square units

Answer 1

Option C

Explanation:

Area of a triangle given with measures of 2 sides and angle between these sides will be,

Area of a triangle =
`(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 =
`(1)/(2)\text{(a.b)sinC}`

=
`(1)/(2){(9* 6)\text{sin}(110^(\circ))}`

= 25.37

≈ 25.4 square units

Therefore, Option C will be the answer.