document.write( "Question 155724: If anyone can help me...
\n" );
document.write( "The width of a rectangle is 4ft. less than the length. The area is 5ft^2. Find the length and the width.\r
\n" );
document.write( "\n" );
document.write( "How do I do this? \n" );
document.write( "
Algebra.Com's Answer #114757 by nerdybill(7384)![]() ![]() You can put this solution on YOUR website! The width of a rectangle is 4ft. less than the length. The area is 5ft^2. Find the length and the width. \n" ); document.write( ". \n" ); document.write( "Let x = length of rectangle \n" ); document.write( "then because \"width of a rectangle is 4ft. less than the length\" we get: \n" ); document.write( "x-4 = width of rectangle \n" ); document.write( ". \n" ); document.write( "Now, we also should know that the area of any rectangle is: \n" ); document.write( "length * width \n" ); document.write( "Therefore, we get out equation: \n" ); document.write( "x(x-4) = 5 \n" ); document.write( "x^2 -4x = 5 \n" ); document.write( "x^2 -4x - 5 = 0 \n" ); document.write( ". \n" ); document.write( "Factoring we get: \n" ); document.write( "(x-5)(x+1) = 0 \n" ); document.write( "x = {-1, 5} \n" ); document.write( "Since we can't have a negative length the answer must be: \n" ); document.write( "x = 5 feet (length) \n" ); document.write( ". \n" ); document.write( "Previously, we said: \n" ); document.write( "x-4 = width of rectangle \n" ); document.write( "x-4 = 5-4 = 1 feet (width) \n" ); document.write( " \n" ); document.write( " |