Posted by **m** on Wednesday, January 5, 2011 at 8:04am.

find the perimeter of a square with a diagonal of 6 square root 2 in.

I am not sure how to figure out this perimeter.

- math -
**Dr Russ**, Wednesday, January 5, 2011 at 8:10am
You are told it is a square so the sides are of equal length, a.

If we wanted to find the length of the diagonal of a square with sides length a, then

diagonal = sqrt(2a^2)

=6sqrt(2)

sqrt(2a^2)= 6sqrt(2)

2a^2 = 36 x 2

a^2 = 36

so a=6

now find the perimeter

## Answer this Question

## Related Questions

- Geometry - If the diagonal of a square has a length of 10 suare root of 2 cm, ...
- geometry - the length of a diagonal of a square is 22 square root of 2 ...
- Algebra 2 - Given the area of the figure, find its perimeter to the nearest ...
- Algebra 2 Answer Check - Given the area of the figure, find its perimeter to the...
- Math - what is the area of the right triangle formed by halving a square with ...
- 2nd grade math - If you have a rectangle with 24 square units 3 lines down 8 ...
- math/algebra - I have a triangle one side = 3 side 2 = square root5 - square ...
- Math grade 8 (algebra) - The perimeter of the square is 2cm longer than the ...
- Math - What are the solution sets of the following 3 problems,the square root of...
- Pre-Calculus - Composition of Functions f o g(x)=f(g(x)) --> I know that this...