document.write( "Question 823564: Suppose you want to frame a collage of pictures. You have a 9-foot strip of wood for the frame. What dimensions of the frame give you the maximum area for the collage? What is the maximum area?\r
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document.write( "Please help! I just can't wrap my brain around this one and I know I should easily be able to solve it but I've spent almost 15 minutes on it and I'd like to my other homework so please help. Thank you! \n" );
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Algebra.Com's Answer #495605 by TimothyLamb(4379)![]() ![]() You can put this solution on YOUR website! --- \n" ); document.write( "perimeter = 2x + 2y = 9 \n" ); document.write( "area = xy \n" ); document.write( "--- \n" ); document.write( "2x + 2y = 9 \n" ); document.write( "a = xy \n" ); document.write( "--- \n" ); document.write( "2y = 9 - 2x \n" ); document.write( "y = (9 - 2x)/2 \n" ); document.write( "a = x(9 - 2x)/2 \n" ); document.write( "--- \n" ); document.write( "a = (9/2)x - xx \n" ); document.write( "a = -xx + (9/2)x \n" ); document.write( "a = -xx + 4.5x \n" ); document.write( "--- \n" ); document.write( "the above quadratic equation is in standard form, with a=-1, b=4.5, and c=0 \n" ); document.write( "--- \n" ); document.write( "to solve the quadratic equation, by using the quadratic formula, copy and paste this: \n" ); document.write( "-1 4.5 0 \n" ); document.write( "into this solver: https://sooeet.com/math/quadratic-equation-solver.php \n" ); document.write( "--- \n" ); document.write( "the quadratic vertex is a maximum at: ( x= 2.25, a= 5.0625 ) \n" ); document.write( "--- \n" ); document.write( "answer: \n" ); document.write( "the frame area is maximum at 5.0625 sq.ft when the frame dimensions are: \n" ); document.write( "L= 2.25 ft \n" ); document.write( "W= 2.25 ft \n" ); document.write( "--- \n" ); document.write( "Solve and graph linear equations: \n" ); document.write( "https://sooeet.com/math/linear-equation-solver.php \n" ); document.write( "--- \n" ); document.write( "Solve quadratic equations, quadratic formula: \n" ); document.write( "https://sooeet.com/math/quadratic-formula-solver.php \n" ); document.write( "--- \n" ); document.write( "Solve systems of linear equations up to 6-equations 6-variables: \n" ); document.write( "https://sooeet.com/math/system-of-linear-equations-solver.php \n" ); document.write( " |