#1**+2 **

The width of the rectangle is easy...it = 8 mm

If we connect the center of each circle, we have an equilateral triangle with sides of 2

And the height of this triangle can be found thusly :

tan 60 = height / 2

√3 = height/ 2

2√3 mm = height

So....the height of the rectangle = 2√3 + 2 + 2 = [2√3 + 4] mm

So...the area is width of rectangle * height of rectangle =

8 ( 2√3 + 4 ) mm^2 =

16√3 + 32 mm^2

CPhill Apr 11, 2018