Answer:
86
Step-by-step explanation:
Perimeter of WXY = WSY+WRX+XY
--> WSY = SY x 2
--> WSY = 16 x 2 = 32
Since it is an isosceles triangle, WRX = WSY
--> WRX = 32
--> Draw a straight line from W to XY to divide it into two halves assuming it to be point A. This would form a right angle triangle of WAX.
--> Solve it using the cos theta rule
--> Angle = Angle X = 70°
Hypotenuse = WRX = 32
Adjacent = WA = ?
--> Cos (Angle) = Adjacent/Hypotenuse
Cos (70) = WA/32
WA = 10.9 rounded off to 11
--> WA=AY= 11
--> XY = WA + AY = 11+11 = 22
--> Perimeter = WSY+WRX+XY
Perimeter = 32+32+22
Perimeter = 86
Therefore, the perimeter of WXY is 86.
