Question

A square has a perimeter of 36 ft. what is the lenght of the diagonal , to the nearest foot?

Answer 1

13 feet

Explanation:

Since it is a square and the perimeter is 36 feet, each side is equal to 36feet/4, 9 feet. To find the diagonal use the Pythagorean Theorem.

`a^(2)+b^(2)=c^(2)`

`9^(2)+9^(2)=c^(2)`

81+81=
`c^(2)`

162=
`c^(2)`

Square root both sides

c=12.728

To the nearest foot, it equals 13 feet.