document.write( "Question 360181: consider all rectangles with an area of 200 meters squared. let x be the length of one side of such a rectangle. a) express the perimeter P as a function of x. b) find the dimensions of a rectangle whose perimeter is 70 m \n" ); document.write( "
Algebra.Com's Answer #256996 by ewatrrr(24785)\"\" \"About 
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\n" ); document.write( "Hi,
\n" ); document.write( "*Note: Area of a rectangle is l*w
\n" ); document.write( "let x be the length a rectangles with an area of 200 meters squared
\n" ); document.write( "x*w = 200m^2
\n" ); document.write( "w= 200m^2/x\r
\n" ); document.write( "\n" ); document.write( "a) express the perimeter P as a function of x.
\n" ); document.write( "P(x) = 2*x + 2*(200m^2/x)\r
\n" ); document.write( "\n" ); document.write( "b) find the dimensions of a rectangle whose perimeter is 70 m
\n" ); document.write( "70m = 2x + 400m^2/x
\n" ); document.write( "70x = 2x^2 + 400m^2
\n" ); document.write( "0= 2x^2 -70x + 400m^2
\n" ); document.write( "0= x^2 -35x + 200m^2\r
\n" ); document.write( "\n" ); document.write( "\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"
\n" ); document.write( "\"x+=+%2835%2B-+sqrt%28+425+%29%29%2F%282%29+\"
\n" ); document.write( " \n" ); document.write( "
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