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 m². Find the length of each side of the original garden.

* 19 m
* 12 m
* 5 m
* √5 m

Question

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 m². Find the length of each side of the original garden.  

* 19 m
* 12 m
* 5 m
* √5 m

radar · Answer

Let x = original length of side of square garden
then, x + 7 will equal the length of the new side for the expanded garden.
We know that the Area of a square is equal to the side squared and in this the area is 144 square meters.$$(x+7)^{2}=144 m ^{2}$$
Take the square root of both sides getting:$$\sqrt{(x+7)^{2}} =\sqrt{144}$$$$x+7=12m$$x=12-7=5
Original sides = 5 meters
Did you follow with understanding?

anonymous · Answer

yeah i think so

radar · Answer

If there is a part here you don't understand, I will be more than willing to provide additional help.

anonymous · Answer

thank you now what if the area was 169m^2

anonymous · Answer

found the answer nvm

radar · Answer

Great, and good luck to you in your studies.