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https://vle.mathswatch.co.uk/images/questions/question16344.png

qualitystreet  Apr 11, 2018
 #1
avatar+86944 
+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

 

 

cool cool cool

CPhill  Apr 11, 2018
edited by CPhill  Apr 11, 2018
edited by CPhill  Apr 11, 2018

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