Question

Find the length of a diagonal of a square whose perimeter is 48

Answer 1

Answer:

$\large\boxed{12\sqrt2}$

Step-by-step explanation:

a - side of  square

The formula of a perimeter of a square:

$P=4a$

We have P = 48. Substitute:

$48=4a$              divide both sides by 4

$12=a\to a=12$

You can use the Pythagorean theorem, and calculate the length of a diagonal or use the formula of a diagonal of a square:

$d=a\sqrt2$

Substitute:

$d=12\sqrt2$

Answer 2

Answer:

12 sq. rt. 2

Step-by-step explanation:

If the perimeter is 48, then all the sides are each 12. Use the pythagorean theorem to find the diagonal, or hypotenuse