A rectangular dock that measures 12 feet by 16 feet is treated with a uniform strip of nonslip coating along both sides and both ends. How wide is the strip if one-half of the dock is treated?
A rectangular dock that measures 12 feet by 16 feet is treated with a
uniform strip of nonslip coating along both sides and both ends. How wide is
the strip if one-half of the dock is treated? If we let x represent the width of the
strip, then we can use the equation (16 -2x)(12 - 2x) = 1/2(12)(16) to determine
that the width of the strip is 2 feet. I've been doing well with polynomials I just do not understand visually what "treated along both ends and sides" mean. What is the end of a rectangle? Also, I do not understand the 2 in '2x' (2 times the width of the strip) why is that added? I guess I am more concerned about how the equation actually maps to the real world scenario.
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