Tasha is planning an expansion of a square flower garden in a city park. If each side of the original garden is increased by 7 m, the new total area of the garden will be 144 m?. Find the length of each side of the original garden.
(1 point)
• 19 m
O 12 m
05 m
05m
Let x be the length of each side of the original garden.
The original area of the garden is x^2.
If each side is increased by 7 m, then the new side length is x + 7.
The new total area of the garden is (x + 7)^2 = 144.
Expanding (x + 7)^2, we get x^2 + 14x + 49 = 144.
Subtracting 144 from both sides, we get x^2 + 14x + 49 - 144 = 0.
Simplifying further, we get x^2 + 14x - 95 = 0.
Factoring the quadratic equation, we get (x + 19)(x - 5) = 0.
Setting each factor to zero, we find x = 5 or x = -19.
Since the length of a side cannot be negative, the original length of each side of the garden is 5 m.
Therefore, the correct answer is: 05 m