document.write( "Question 558486: explain me how to fin the lenght, width, and height this is the information they gave me.
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document.write( "the area of the base of the box is 20 square inches
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document.write( "the perimeter of the base of the box is 18 inches
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document.write( "the volume of the box is 160 cubic inches \n" );
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Algebra.Com's Answer #363158 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! fin the lenght, width, and height this is the information they gave me. \n" ); document.write( "Write an equation for each statement: \n" ); document.write( ": \n" ); document.write( "\"the area of the base of the box is 20 square inches\" \n" ); document.write( "L * W = 20 \n" ); document.write( ": \n" ); document.write( "\"the perimeter of the base of the box is 18 inches\" \n" ); document.write( "2L + 2W = 18 \n" ); document.write( "simplify, divide by 2 \n" ); document.write( "L + W = 9 \n" ); document.write( "L = (9-W) \n" ); document.write( ": \n" ); document.write( "Replace L with (9-W) in the area equation \n" ); document.write( "W(9-W) = 20 \n" ); document.write( "-W^2 + 9W = 20 \n" ); document.write( "0 = W^2 - 9W + 20; a quadratic equation, that will easily factor to: \n" ); document.write( "(W-4)(W-5) = 0 \n" ); document.write( "two solutions \n" ); document.write( "W = 4, then L = 5 \n" ); document.write( "W = 5, then L = 4 \n" ); document.write( ": \n" ); document.write( "\"the volume of the box is 160 cubic inches\" \n" ); document.write( "Find the height by dividing the volume by the area of the base (20) \n" ); document.write( " \n" ); document.write( "; \n" ); document.write( "; \n" ); document.write( "The dimensions of the box 5 by 4 by 8 \n" ); document.write( " |