Question

A walkway forms one diagonal of a square playground. The walkway is 22 m long. How long is a side of the​ playground?

Answer 1

To find the length of a side of the playground, we can use the diagonal of the square as a hypotenuse of a right triangle. Using the Pythagorean Theorem, we find that x = 15.56 meters.

Step-by-step explanation:

To find the length of a side of the playground, we can use the diagonal of the square as a hypotenuse of a right triangle. Let's call the length of the side of the playground 'x'. Using the Pythagorean Theorem, we have:

x^2 + x^2 = 22^2

Simplifying this equation, we get:

2x^2 = 484

x^2 = 242

Taking the square root of both sides, we find that x = 15.56 meters.

Answer 2

You can think of a square as two isosceles right angle triangles and use Pythagoras.

x^2 + x^2 = 22^2
x^2 + x^2 = 484
2x^2 = 484
x^2 = 242
x = 11√2

One side of the playground is 11√2 m long.