If  , what is the value of  

What is the value of    if    and  , correct to 2 decimal places? 

This shape is made up of a right-angled triangle and a regular hexagon.
 

The area of a regular hexagon can be estimated using the formula    where    is the side-length.

Calculate the total area of the shape using this formula.   (3 marks)

What is the value of  , if    and  ?

If  , what is the value of  when  , correct to two decimal places?

If  , and  , what is the value of correct to three significant figures?

What is the value of  , if    and  .  (2 marks)

If   , find    given  ,  and  (give your answer to the nearest cent).  (2 marks)

It is given that  .

What is the value of   when  and  , correct to two decimal places?

If  , find given  , and . (give your answer to the nearest cent).  (2 marks)

What is the value of    if   and , correct to 1 decimal place?  (2 marks)