Question

A square has a diagonal that is 26 feet long.
What is the perimeter of this square?

Answer 1

52
`√(2)`

Explanation:

• we can use the 45-45-90 triangle theorem for this: x, x, x
  `√(2)`

this is because this is a square

• squares have two sides of the same length, and the diagonal is different
• the x's stand for the sides, whereas the x
  `√(2)` stands for the diagonal

x
`√(2)` = 26

x = 13
`√(2)`

• now multiply this by 4 because this is the length of one of the sides of the square. in order to find the perimeter we have to either add this four times or multiply by 4

13
`√(2)` X 4 = 52
`√(2)`