Question

ex 4
if $ms = 3$ and $as = 3$, find the perimeter of square math.

Explanation:

Step1: Find diagonal length

Diagonal $MA = MS + AS = 3 + 3 = 6$

Step2: Relate diagonal to side

For square side $s$, diagonal $d = s\sqrt{2}$. Rearrange: $s = \frac{d}{\sqrt{2}}$
Substitute $d=6$: $s = \frac{6}{\sqrt{2}} = 3\sqrt{2}$

Step3: Calculate perimeter

Perimeter $P = 4s$
Substitute $s=3\sqrt{2}$: $P = 4 \times 3\sqrt{2} = 12\sqrt{2}$

Answer:

$12\sqrt{2}$ (or approximately 16.97 if a decimal is needed)