# SOLUTION: 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.

Algebra ->  -> SOLUTION: 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.      Log On

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 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?Answer by htmentor(855)   (Show Source): You can put this solution on YOUR website!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? ================================================================= Let s be the length of the square sides Then the formula for the new area will be: (s+5)(s+2) = 130 Expand using FOIL: s^2 + 7s + 10 = 130 s^2 + 7s - 120 = 0 Solve for s using the quadratic formula: This gives s = -15, 8 Since length can't be negative, we choose the positive solution, s = 8. Therefore, the new dimensions are: 13 ft and 10 ft.