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^2 . find the length of each sides of the original garden.
19 m
12 m
5 m
√5n m
Let x be the length of each side of the original garden.
The area of the original garden is x^2.
If each side of the original garden is increased by 7 m, the new length of each side is x+7.
The new area of the garden is (x+7)^2.
According to the problem, (x+7)^2 = 144.
Taking the square root of both sides, we get x+7 = 12.
Subtracting 7 from both sides, we get x = 5.
Therefore, the length of each side of the original garden is 5 m.