Question

A square patio was enlarged by adding 9 feet to the length and width of the original square patio. If the area of the enlarged patio is 441 ft.2, what was the side length of the original patio?

Answer 1

for study island it is 11 feet

Explanation:

Answer 2

The side length of the original patio was
`12\ ft`

Explanation:

Let

x----> the side length of the original square patio

we know that

`441=(x+9)^(2)\\ \\x^(2) +18x+81=441\\ \\ x^(2) +18x- 360=0`

Solve the quadratic equation by graphing

The solution is
`x=12\ ft`

see the attached figure