document.write( "Question 396029: The area of a rectangular window is to 306 square centimeters. If the length exceeds the width by 1 centimeters, what are the dimentions?
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document.write( "How do I solve this problem? I want to learn step by step. \n" );
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Algebra.Com's Answer #281034 by mananth(16946)![]() ![]() You can put this solution on YOUR website! The area of a rectangular window is to 306 square centimeters. If the length exceeds the width by 1 centimeters, what are the dimentions? \n" ); document.write( "How do I solve this problem? I want to learn step by step.\r \n" ); document.write( "\n" ); document.write( "let width be x \n" ); document.write( "length = (x+1) \n" ); document.write( "Area = 306 \n" ); document.write( ".. \n" ); document.write( "Area of rectangle A = L*W \n" ); document.write( "A= x(x+1)= 306 \n" ); document.write( "x^2+x=306 \n" ); document.write( "add -306 to both sides \n" ); document.write( "x^2+x-306 = 0 \n" ); document.write( "find factors of 306 such that their product = 306 and their sum is 1 \n" ); document.write( "x^2+18x-17x-306=0 \n" ); document.write( "x(x+18)-17(x+18)=0 \n" ); document.write( "(x-17)(x+18)=0 \n" ); document.write( "the width can be 17 OR -18. width cannot be -18. so ignore. \n" ); document.write( "width = 17 cm \n" ); document.write( "length = x+1 = 17+1=18 cm \n" ); document.write( ".. \n" ); document.write( "the dimensions are 17 by 18 cm \n" ); document.write( "... \n" ); document.write( "m.ananth@hotmail.ca \n" ); document.write( " |