Question

What is the length of the diagonal of a 3 by 6 rectangle

Answer 1

The diagonal is 6.7082 ≈ 6.71

Explanation:

Let the diagonal be x :

To find the diagonal of a 3 by 6 rectangle

We can use the Pythagorean Theorem:

`x^(2) = 3^(2) + 6^(2)`

⇒
`x^(2) = 9 +36`

⇒
`x^(2) = 45`

⇒
`x=√(45)`

∴
`x =6.7082` ≈
`6.71` (corrected to 2 d.p.)