Question

18. 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

A) 15 m
B) 3 m
C) 12 m
D) check mark over 12 m (i dont know the math term)
But please help!! i will love you foreverrrr

Answer 1

Original length of square flower garden is 12 m.

Step-by-step explanation:

It is given that when the side of the square is increased by 3 m the area will be 225 sq m.

Let initially the length of the square be x. We know that the area of the square is side × side.

So,
`(x+3)^2=225`

On solving the quadratic equation :

`x^2+6x-216=0`

x = 12 m

So, the original length of the garden is 12 m.

Hence, the correct option is (c) " 12 cm ".

Answer 2

To get the answer it is just necessary to get the square root of the 225 square meters using a simple scientific calculator and the answer is 15meters for  each side since it is a square flower garden so subtract 3m from each side gives a 12 x 12m original garden.