document.write( "Question 353562: A rectangular pool of 20 m wide and 60 m long is surrounded by a walkway of uniform width. If the total area of the walkway is 516 square meters , how wide, in meters, is the walkway? \r
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document.write( "a. 43 m b. 3 m c. 3 m d. 3.5 m
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Algebra.Com's Answer #252610 by ewatrrr(24785)![]() ![]() You can put this solution on YOUR website! Hi, \n" ); document.write( "*NOte: consider let x be the width of the walkway. Then the dimensions of the rectangle formed by the pool and the walkway are (20 + 2x) and (60 + 2x) \n" ); document.write( ". \n" ); document.write( "Area of rectangle formed by the pool and the walkway \n" ); document.write( "1200 m^2 + 516 m^2 = 1716m^2 \n" ); document.write( ". \n" ); document.write( "(20 + 2x)(60 + 2x) = 1716m^2 \n" ); document.write( "1200 + 160x + 4x^2 = 1716m^2 \n" ); document.write( "x^2 + 40x - 129 = 0 \n" ); document.write( "(x + 43)(x-3) = 0 \n" ); document.write( "x = 3m \n" ); document.write( ". \n" ); document.write( "check your answer \n" ); document.write( "26m*66m = 1716m^2 \n" ); document.write( " |