The diagram shows 3 identical circles inside a rectangle. Each circle touches the other 2 circles and the sides of the rectangle as shown in the diagram.
The radius of each circle is 2mm.
Work out the exact area of the rectangle.
Give your answer in the form a\sqrt{3}+b
Where a and b are integers

The architect's side view drawing of a saltbox-style house shows a post that supports the roof ridge. the support post is 8 ft tall. the distance from the front of the house to the support post is less than the distance from the post to the back of the house. how far from the front of the house is the support post positioned?