document.write( "Question 203518: Can anyone help with this one? I cannot come up with a solution. I think I have it set up wrong. You are greatly appreciated.\r
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document.write( "Translate the following into a quadratic equation, and solve it: The length of a rectangular garden is four times its width; if the area of the garden is 196 square meters, what are its dimensions? \r
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Algebra.Com's Answer #153543 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! The length of a rectangular garden is four times its width; \n" ); document.write( " if the area of the garden is 196 square meters, what are its dimensions? \n" ); document.write( "; \n" ); document.write( "Let x = the width \n" ); document.write( "then \n" ); document.write( "4x = the length \n" ); document.write( ": \n" ); document.write( "Area; \n" ); document.write( "4x * x = 196 \n" ); document.write( "4x^2 - 196 = 0 \n" ); document.write( "Simplify, divide by 4 \n" ); document.write( "x^2 - 49 = 0 \n" ); document.write( "difference of squares, factors to: \n" ); document.write( "(x-7)(x+7) = 0 \n" ); document.write( "positive solution \n" ); document.write( "x = 7 m is the width \n" ); document.write( "and \n" ); document.write( "4(7) = 28 m is length \n" ); document.write( "; \n" ); document.write( "; \n" ); document.write( "Check solution 28 * 7 = 196 \n" ); document.write( " |