Question

Can you help with this?​

Answer 1

Given:

Diagonal of a square = 24 inches

To find:

The perimeter of the given square.

Solution:

Let a be the edge of the square.

Then, the diagonal of the square is

`d=√(2)a`

Diagonal of a square = 24 inches

`24=√(2)a`

`(24)/(√(2))=a`

`(24)/(√(2))* (√(2))/(√(2))=a`

`(24√(2))/(2)=a`

`12√(2)=a`

The perimeter of the square.

`Perimeter=4a`

`Perimeter=4(12√(2))`

`Perimeter=48√(2)`

Therefore, the perimeter of the square is
`48√(2)`.