document.write( "Question 303189: A garden is currently 4 m wide and 7 m long. If the area of the garden is doubled by increasing the width and length by the same number of meters, find the new dimensions of the garden. \n" ); document.write( "

Algebra.Com's Answer #217289 by nyc_function(2741) $\"\"$ $\"About$

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The area of the original garden is A = 7 * 4 or 28m^2.\r
\n" ); document.write( "\n" ); document.write( "The length and width is increased by the same amount of meters.\r
\n" ); document.write( "\n" ); document.write( "Let x = meter amount we want\r
\n" ); document.write( "\n" ); document.write( "We are also told the area is doubled when we add this unknown number to the length and width.\r
\n" ); document.write( "\n" ); document.write( "So, 28 * 2 = 56.\r
\n" ); document.write( "\n" ); document.write( "56 = (x + 7)(x + 4)\r
\n" ); document.write( "\n" ); document.write( "56 = x^2 + 11x + 28\r
\n" ); document.write( "\n" ); document.write( "0 = x^2 + 11x + 28 - 56\r
\n" ); document.write( "\n" ); document.write( "0 = x^2 + 11x - 28\r
\n" ); document.write( "\n" ); document.write( "All you have to do is factor this quadratic equation using the quadratic formula. When you find x, add your value of x to the length (x + 7) and the width (x + 4).\r
\n" ); document.write( "\n" ); document.write( "Can you finish now?\r
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