Question

A square has a perimeter of 40 feet. Find the length of the
diagonal of the square.

Answer 1

14.14

Explanation:

Answer 2

The length of the diagonal of the square is about 14.142 feet

Explanation:

Step 1: Determine the length

`P = 4(l)`

`40\ ft = 4(l)`

`(40\ ft)/(4)=(4(l))/(4)`

`10\ ft = l`

Step 2: Determine the diagonal length

Pythagorean theorem →
`a^2 + b^2 = c^2`

a and b are going to be the sides of the square which are both 10 ft so we just plug those in and solve for c

`(10)^2 +(10)^2 =c^2`

`100+100=c^2`

`√(200)=√(c^2)`

`14.142=c`

Answer: The length of the diagonal of the square is about 14.142 feet