Question

e)
$3\sqrt{2}$ cm
$x = \underline{\quad\quad\quad\quad}$
$y = \underline{\quad\quad\quad\quad}$
square pqrs.

Explanation:

Step1: Identify square side length

$y = 3\sqrt{2}\ \text{cm}$ (All sides of a square are equal)

Step2: Calculate diagonal via Pythagoras

For square with side $s$, diagonal $x = s\sqrt{2}$. Substitute $s=3\sqrt{2}$:
$x = 3\sqrt{2} \times \sqrt{2} = 3 \times 2 = 6\ \text{cm}$

Answer:

$x = 6\ \text{cm}$
$y = 3\sqrt{2}\ \text{cm}$