Question

What is the perimeter of a square whose diagonal is 3 square root 2? Show all work on how you got your answer

Answer 1

Answer:

12

Step-by-step explanation:

Given: Diagonal of square= $3\sqrt{2}$

To find the perimeter of square, we need to find the length of sides of square.

∴ Using the formula of diagonal to find side of square.

Formula; $Diagonal= s\sqrt{2}$

Where, s is side of square.

⇒ $3\sqrt{2} = s\sqrt{2}$

Dividing both side by √2

⇒$s= \frac{3\sqrt{2} }{\sqrt{2} }$

∴$s= 3$

Hence, Length of side of square is 3.

Now, finding the perimeter of square.

Formula; $Perimeter= 4s$

⇒$Perimeter= 4\times 3$

∴ $Perimeter= 12$

Hence, Perimeter of square is 12.