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

Answer 1

6m i made a 100 on my posttest,

Explanation:

Answer 2

Let

x---------> the length of each side of the original garden

we know that

The area of the square is equal to

`A= b^(2)`

where

b is the length side of the square

in this problem

`b=(x+7)\ m\\ A=(x+7)^(2)\\A=169\ m^(2)`

so

`(x+7)^(2)=169\\x+7=13\\ x=13-7\\x= 6\ m`

therefore

the answer is

the length of each side of the original garden is
`6\ m`