The area of parallelogram WXYZ is approximately 45 square units. Parallelogram W X Y Z is shown. Sides W Z and X Y are congruent. The lengths of sides W X and Z Y are 10 units. Angle W Z Y is 115 degrees.

Trigonometric area formula: Area = One-half a b sine (C)

What is the approximate perimeter of the parallelogram?

5 units
15 units
30 units
40 units

Option (4)

Step-by-step explanation:

Area of a triangle =

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 =

45 =

9 = (YZ).Sin(115)°

YZ =

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.

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step-by-step explanation: