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A community group is planning the expansion of a square flower garden in a city park. If each side of the original garden is increased by 3 meters, the new total area of the garden will be 225 square meters. Find the length of each side of the original garden.
15 m
3 m
12 m

Question

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A community group is planning the expansion of a square flower garden in a city park. If each side of the original garden is increased by 3 meters, the new total area of the garden will be 225 square meters. Find the length of each side of the original garden. 
15 m 
3 m 
12 m <---- 
√12 m

photon336 · Answer

Your answer is correct here is how we can figure this out 

|dw:1460666616428:dw| 

$$Area = s^{2} or~(x+3)^{2} $$

$$x^{2}+6x+9 = 225 $$

$$x^{2}+6x-216 = 0$$

$$\frac{ \sqrt{6^{2}-4(1)(-216)} }{ 2 } = \frac{ (-6+ 30) }{ 2 } = 12 m $$ 

$$(12)^{2} =144, (15)^{2} = 225 $$