Question

The perimeter of a square is 56 cm. What is the approximate length of its diagonal

Answer 1

Step 1

Find the length side b of a square

P=56cm\\ P=4b\\ 56=4b\\ b=56/4\\ b=14cm

Step 2

Find the length of the diagonal of a square

Applying the Pythagorean Theorem

D=\sqrt{b^{2}+b^{2}} \\ D=\sqrt{14^{2}+14^{2}}\\ D=14\sqrt{2} cm\\ D=19.80cm

therefore

the approximate answer is

19.80cm or D on ed

Answer 2

20

Explanation:

To solve this, we have to multiply one of the side lengths by the square root of 2.

Since it is a square, we can deduce that all of the side lengths are equal, and us finding one of the side lengths is as simple as dividing 56 by 4.

56/4=14

Now, multiply.

14*square root of 2 is 19.7989898732 or 20.

The length of the diagonal of the square is 20.

Hope this helps!