Mathematics: 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

12/100x=36= x=36*100/12= x = 300...

The area of parallelogram WXYZ is approximately 45

nicolerowell2783

30.08.2020

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.

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