document.write( "Question 624573: My teacher just started doing this with me can someone help me out. \r
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document.write( "A rectangle has an area of 240 {cm}^2 and a perimeter of 64 cm. What are its dimensions? Need to find the length and the with \n" );
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Algebra.Com's Answer #392860 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! A rectangle has an area of 240 {cm}^2 and a perimeter of 64 cm. What are its dimensions? Need to find the length and the width \n" ); document.write( "** \n" ); document.write( "let x=length \n" ); document.write( "let y=width \n" ); document.write( "Area of a rectangle=length*width=xy \n" ); document.write( "Perimeter=twice the length+twice the width=2x+2y \n" ); document.write( "64=2x+2y \n" ); document.write( "32=x+y \n" ); document.write( "y=32-x \n" ); document.write( ".. \n" ); document.write( "240=x*y=x(32-x)=32x-x^2 \n" ); document.write( "x^2-32x+240=0 \n" ); document.write( "(x-12)(x-20)=0 \n" ); document.write( "x=12(reject, x=length) \n" ); document.write( "or \n" ); document.write( "x=20 \n" ); document.write( "32-x=12 \n" ); document.write( "Dimensions of rectangle: \n" ); document.write( "length=20 cm \n" ); document.write( "width=12 cm \n" ); document.write( " \n" ); document.write( " |