What is the perimeter of the trapezoid shown? [asy] unitsize(1.5cm); pair a=(0,0); pair b=(1,sqrt(3)); pair c=(3,sqrt(3)); pair d=(4,0); draw(a--b--c--d--a); label("2",(a+b)/2,NW); label("2",(b+c)/2,N); label("2",(c+d)/2,NE); label("~$60^\circ$",a,NE); label("$60^\circ$~",d,NW); [/asy]
Question
What is the perimeter of the trapezoid shown? [asy] unitsize(1.5cm); pair a=(0,0); pair b=(1,sqrt(3)); pair c=(3,sqrt(3)); pair d=(4,0); draw(a--b--c--d--a); label("2",(a+b)/2,NW); label("2",(b+c)/2,N); label("2",(c+d)/2,NE); label("~",a,NE); label("~",d,NW); [/asy]
Solution
The perimeter of a trapezoid is calculated by adding the lengths of all its sides. In the given trapezoid, all sides are of equal length, which is 2 units. Since a trapezoid has 4 sides, the perimeter would be 2 units (for each side) * 4 sides = 8 units. So, the perimeter of the trapezoid is 8 units.
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