Question

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

Answer 1

`√(418)`

Explanation:

The length of a diagonal of a square is
`√(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
`√(209)`m, since the area of a square is it’s side length squared.

Now we can substitute inside the formula.

`√(2)\cdot√(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
`√(418)` m.

Hope this helped!