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

Question

asked Aug 15, 2020 171k views

2 Answers

Ryan Bennetts · Answer 1 · 2020-08-15T22:30:36+0000

Answer:

12 sq. rt. 2

Explanation:

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

Fergus In London · Answer 2 · 2020-08-20T20:00:54+0000

Answer:

$\large\boxed{12\sqrt2}$

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:

$d=12\sqrt2$