SOLUTION: A lumber mill cuts rectangular beams from circular log. If the diameter of the log is 16 inches and the cross-section area of the beam is 120 square inches, find the dimensions of

Algebra ->  Formulas -> SOLUTION: A lumber mill cuts rectangular beams from circular log. If the diameter of the log is 16 inches and the cross-section area of the beam is 120 square inches, find the dimensions of       Log On


   

Question 1040508: A lumber mill cuts rectangular beams from circular log. If the diameter of the log is 16 inches and the cross-section area of the beam is 120 square inches, find the dimensions of the cross section of the beam correct to one decimal place.
Answer by solver91311(24713) About Me  (Show Source):
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Let , then



Solve the quadratic in , then substitute back and take the square root to get . The two positive roots will be your dimensions, since the orientation of the rectangle is arbitrary.

John

My calculator said it, I believe it, that settles it