Question

The area of a square garden is 209 m squared. How long is the diagonal?

Answer 1

Answer:

$\sqrt{418}$

Step-by-step explanation:

The length of a diagonal of a square is $\sqrt{2}a$, where a is the length of one side.

If the area of a square garden is 209m, we know that the side length must be $\sqrt{209}$m, since the area of a square is it’s side length squared.

Now we can substitute inside the formula.

$\sqrt{2}\cdot\sqrt{209}$

When multiplying roots, the multiplication problem can simplify down to whatever is in the roots multilpied by each other.

So, $209\cdot 2 = 418$

So the length of the diagonal is $\sqrt{418}$ m.

Hope this helped!