A wooden beam has a rectangular cross section of height h and width w (see figure). The strength S of the beam is directly proportional to the width and the square of the height. What are the dimensions of the strongest beam that can be cut from a round log of diameter d = 26 inches?  Round your answers to two decimal places.  [Hint:  where k> 0 is the proportionality constant.]
 

?

A.  inches and  inches 
B.  inches and  inches 
C.  inches and inches 
D.  inches and inches 
E.  inches and inches 


Answer: A

Mathematics

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