Question

5 multiple choice 1 point
kate folded a quilting square and measured the diagonals length as 18 cm. what is the length of one side of the square, in centimeters?
9
$9\sqrt{3}$
$18\sqrt{2}$
$9\sqrt{2}$

Explanation:

Step1: Recall square diagonal formula

For a square with side length $s$, diagonal $d = s\sqrt{2}$

Step2: Rearrange to solve for $s$

$s = \frac{d}{\sqrt{2}}$

Step3: Substitute $d=18$ cm

$s = \frac{18}{\sqrt{2}}$

Step4: Rationalize the denominator

$s = \frac{18\sqrt{2}}{\sqrt{2} \times \sqrt{2}} = \frac{18\sqrt{2}}{2} = 9\sqrt{2}$

Answer:

D. $9\sqrt{2}$