Question

A walkway forms one diagonal of a square playground. the walkway is 16 m long. how long is a side of the​ playground?

Answer 1

Explanation:

Alright let's get started.

Please refer the diagram I have attached.

we have given a square playground whose diagonal is 16m.

Let us assume the side of the square is a.

Now, by applying the Pythagorean theorem we can find the side of the square which is:

`a^2+a^2=16^2`

`2a^2=256`

`a^2=(256)/(2)`

`a^2=128`

`a=√(128)`

`a=11.3`

Hence, the side of the playground is 11.3m. : Answer

Answer 2

Side of the playground would be : a²+a² = 16²

2a² = 256

a² = 128

a = √128

a = 11.31 m