document.write( "Question 454691: Iris has a square garden and wants to enlarge it. If she extended one side by 5 ft. and the adjacent side by 2ft, the resulting garden would be rectangular with an area of 130 sq. ft. What would its dimensions be? \n" ); document.write( "

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Iris has a square garden and wants to enlarge it. If she extended one side by 5 ft. and the adjacent side by 2ft, the resulting garden would be rectangular with an area of 130 sq. ft. What would its dimensions be?
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\n" ); document.write( "Let s be the length of the square sides
\n" ); document.write( "Then the formula for the new area will be:
\n" ); document.write( "(s+5)(s+2) = 130
\n" ); document.write( "Expand using FOIL:
\n" ); document.write( "s^2 + 7s + 10 = 130
\n" ); document.write( "s^2 + 7s - 120 = 0
\n" ); document.write( "Solve for s using the quadratic formula:
\n" ); document.write( " $\"s+=+%28-7+%2B-+sqrt%2849+%2B+480%29%29%2F2\"$
\n" ); document.write( "This gives s = -15, 8
\n" ); document.write( "Since length can't be negative, we choose the positive solution, s = 8.
\n" ); document.write( "Therefore, the new dimensions are: 13 ft and 10 ft. \n" ); document.write( "

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