#### Answer

$573.6025 < x^2 < 597.8025$

#### Work Step by Step

Formulate and write the inequality for side length x
$24.2-0.25 \leq x \leq 24.2 +0.25$
To find the interval corresponding to the area, square the endpoints of the interval
$573.6025 < x^2 < 597.8025$