Question

find the value of x of the given figure, whose area is given as a = 72.25. x = (simplify your answer. type an integer or a decimal.)

Explanation:

Step1: Recall area formula for square

The area formula for a square is $A = x^2$, where $x$ is the side - length of the square.

Step2: Substitute given area value

We are given that $A = 72.25$, so the equation becomes $x^2=72.25$.

Step3: Solve for $x$

Taking the square - root of both sides, $x=\sqrt{72.25}$. Since $8.5\times8.5 = 72.25$, $x = 8.5$.

Answer:

$8.5$