Question

the figure below is a square. find the length of side ( x ) to the nearest tenth.

Explanation:

Step1: Apply Pythagorean theorem

For a square, the diagonal $x$ forms a right triangle with two sides of length 4. The Pythagorean theorem states $x^2 = 4^2 + 4^2$.

Step2: Calculate sum of squared sides

$x^2 = 16 + 16 = 32$

Step3: Solve for x and round

$x = \sqrt{32} \approx 5.7$

Answer:

5.7