document.write( "Question 869356: the perimeter of a rectangle and square are 160 metre each. the area of rectangle is less than that of square by 100 square metre. find the length of rectangle?
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Algebra.Com's Answer #524142 by lwsshak3(11628)\"\" \"About 
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the perimeter of a rectangle and square are 160 metre each. the area of rectangle is less than that of square by 100 square metre. find the length of rectangle?
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\n" ); document.write( "side of square=160/4=40
\n" ); document.write( "area of square=40*40=1600
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\n" ); document.write( "let x=length of rectangle
\n" ); document.write( "let y=width of rectangle
\n" ); document.write( "2x+2y=160
\n" ); document.write( "x+y=80
\n" ); document.write( "y=80-x
\n" ); document.write( "Area of rectangle=x*y=x(80-x)=80x-x^2
\n" ); document.write( "Area of square-area of rectangle=100
\n" ); document.write( "1600-(80x-x^2)=100
\n" ); document.write( "1600-80x+x^2=100
\n" ); document.write( "x^2-80x+1500=0
\n" ); document.write( "(x-30)(x-50)=0
\n" ); document.write( "x=50
\n" ); document.write( "or
\n" ); document.write( "x=30
\n" ); document.write( "length of rectangle=50 m\r
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