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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?
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.