Question

The area of parallelogram WXYZ is approximately 45 square units.

Answer 1

Answer:

Option (4)

Step-by-step explanation:

Area of a triangle = $\frac{1}{2} (a.b.\text{Sin}\theta)$

Where a and b are the sides of a triangle and θ is the angle between the sides a and b.

By this rule,

Area of ΔWZY = $\frac{1}{2}(\text{WZ}).(\text{YZ}).\text{Sin}(115)$

45 = $\frac{1}{2}(\text{YZ}).(10).\text{Sin}(115)$

9 = (YZ).Sin(115)°

YZ = $\frac{9}{\text{Sin}(115)}$

YZ = 9.93

Perimeter of parallelogram WXYZ = WX + XY + YZ + WZ

                                                         = 9.93 + 10 + 9.93 + 10

                                                         = 39.86

                                                         ≈ 40 units

Therefore, perimeter of the parallelogram is 40 units.

Option (4) is the answer.