Question

A square has a diagonal that measures 6 inches. Which of the following is the length of its perimeter?

(1) 8/3
(2) 1272
(3) 673
6 inches
(4) 1872


PLEASE HELP

Answer 1

Perimeter of square =
`12√(2)\,\,inches`.

None of the given options is correct

Explanation:

Given: Length of diagonal of the square = 6 inches

To find: perimeter of square

Solution:

Let x denotes side of square

Diagonal of square =
`√(2)x`

Also, length of diagonal of the square = 6 inches

So,

`x=(6)/(√(2))\\=(6)/(√(2))\left ( (√(2))/(√(2)) \right )\\=3√(2)`

Perimeter refers to the distance around a two-dimensional shape.

Perimeter of square = 4×side

=
`4(3√(2))=12√(2)\,\,inches`

So, none of the given options is correct.