Question

if each side of a square patio is increased by 4ft, the area of the patio would be 196 square feet. solve the equation (s+4)^2=196 for s to find the length of a side of the patio.

Answer 1

To solve

`(s+4)^2=196`

1. Apply square root in both sides:

`\begin{gathered} \sqrt[]{(s+4)^2}^{}=\sqrt[\square]{196} \\ \rightarrow s+4=14 \end{gathered}`

2. Clear s

`\begin{gathered} s=14-4 \\ \rightarrow s=10 \end{gathered}`

Therefore, s=10