document.write( "Question 821867: The length of a garden is 20 yards more than its width. The area is 300 square yards. What are the dimensions? This is on a worksheet but my teacher didn't teach us how to do this. Help? \n" ); document.write( "
Algebra.Com's Answer #494481 by rothauserc(4718)![]() ![]() You can put this solution on YOUR website! the area of a rectangle is length times width, \n" ); document.write( "let x be the width of the rectangle and the length is x+20 \n" ); document.write( "now we can write the formula for the area as \n" ); document.write( "300 = x * (x+20) \n" ); document.write( "300 = x^2 +20x \n" ); document.write( "subtract 300 from both sides of the = \n" ); document.write( "x^2 +20x -300 = 0 \n" ); document.write( "this quadratic can be factored into \n" ); document.write( "(x+30) * (x-10) = 0 \n" ); document.write( "therefore the two possible values for x are -30 and 10 \n" ); document.write( "we are looking for a positive value in this case, soooooooo \n" ); document.write( "x = 10 and \n" ); document.write( "the width is 10 yards and the length is 30 yards \n" ); document.write( " \n" ); document.write( " |