What is the length of the diagonal of square with perimeter 12 m? Express the answer as a simplified square root.

Question

asked Mar 2, 2020 102k views

1 Answer

Stereoscott · Answer 1 · 2020-03-06T10:33:12+0000

Answer:
$3√(2)\ m$

Explanation:

The perimeter of a square is:

P=4s

Where "s" is the lenght of a side of the square.

Then, if the perimeter of this square is 12 m, you can solve for "s" and find its value:

$s=(P)/(4)\\\\s=(12\ m)/(4)\\\\s=3\ m$

You can calculate the length of the diagonal with this formual:

d=s√(2)

Where "s" is the lenght of a side of the square.

Substituting the value of "s" into the formula
d=s√(2) , you get that the lenght of the diagonal of this square is:

$d=3√(2)\ m$