The area of parallelogram wxyz is approximately 45 square units. trigonometric area formula: area = 1/2absin(c). what is the approximate perimeter of the parallelogram? 5 units 15 units 30 units 40 units

C. 30 units. Just took the test and got it right

As, it is given that , Area of Parallelogram W X Y Z= 45  square units.

Area of Δ

As, diagonal of parallelogram divides it into two congruent triangles and congruent triangles have equal area.

So, Area (Δ W Y Z)= Area (Δ W X Y)

Area (Δ W X Z) =Area (Δ X Y Z)

Area (Δ WYZ)  

As, Opposite sides as well as Opposite angles of Parallelogram are equal.

Adding all the equation written above,

2(WZ*ZY*Sin Z )+ 2(WX*WZ*SinW)=180

2 * WZ *ZY(Sin Z +Sin W)=180

WZ *ZY(Sin Z +Sin W)=90

Consider the case when , SinZ=SinW=1, when the parallelogram turns into rectangle.

Area of Parallelogram which is rectangle =45 square units

L*B=45

Perimeter of Parallelogram = 2 * (L +B)

Differentiating Once w.r.t L

For maxima or minima

L²=45

L= 6.70 units

Gives, B= 6.72 units

Perimeter = 2 × (L +B)

             = 2 × (6.70 +6.72)

             =2 × 13.42

              = 26.84

As, area of parallelogram is smaller than area of rectangle having same dimension.

So, Approximate perimeter of Parallelogram = 30  units.

Option C: 30 units

step-by-step explanation:

answer: howdy

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