Question

the area of a square patio is 196 square feet. how long is each side of the patio? each side of the patio is feet long. (type an integer or a decimal.)

Explanation:

Step1: Recall area formula for square

The area formula of a square is $A = s^2$, where $A$ is the area and $s$ is the side - length. Given $A = 196$ square feet, we have the equation $s^2=196$.

Step2: Solve for side - length

To find $s$, we take the square root of both sides of the equation $s^2 = 196$. Since $s>0$ (side - length cannot be negative), $s=\sqrt{196}$. And $\sqrt{196}=14$.

Answer:

14