Question

The length of a diagonal of a square is 18√2 inches. Find the perimeter of the square.

Answer 1

A diagonal of a square is defined,
`d=a√(2)` where a is side of the square. Solve for a to get
`a=(d)/(√(2))`.

Now multiply a by 4 since that is the definition of a perimeter,

`P=4a=4\cdot(18√(2))/(√(2))=4\cdot18=\boxed{72}`.

Hope this helps.