document.write( "Question 425677: Christopher cuts a length of wire. He bends it to form a rectangle that is four times as long as it is wide. If he wants the rectangle to have an area of 100 square inches, what should be the length of the original piece of wire?
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Algebra.Com's Answer #296314 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! Christopher cuts a length of wire. He bends it to form a rectangle that is four times as long as it is wide. If he wants the rectangle to have an area of 100 square inches, what should be the length of the original piece of wire?\r \n" ); document.write( "\n" ); document.write( ".. \n" ); document.write( "let x=width of rectangle \n" ); document.write( "then 4x=length of rectangle \n" ); document.write( "then 2*(x+4x)=10x=length of original piece of wire. \n" ); document.write( ".. \n" ); document.write( "area of rectangle=length*width=x*4x=100 \n" ); document.write( "4x^2=100 \n" ); document.write( "x^2=100/4=25 \n" ); document.write( "x=5 \n" ); document.write( "10x=50 \n" ); document.write( "ans: \n" ); document.write( "length of original piece of wire=50 inches \n" ); document.write( " |