Answer:
[tex]D = 72.2\ yd[/tex]
Step-by-step explanation:
Given
[tex]Length\ (L)= 58\ yd[/tex]
[tex]Width \ (W)= 43\ yd[/tex]
Required
Determine the diagonal (D)
The relationship between D, L and W can be gotten using Pythagoras Theorem:
[tex]D^2 = L^2 + W^2[/tex]
Substitute values for L and W
[tex]D^2 = 58^2 + 43^2[/tex]
[tex]D^2 = 3364 + 1849[/tex]
[tex]D^2 = 5213[/tex]
Take Square root of both sides
[tex]D = \sqrt{5213}[/tex]
[tex]D = 72.2011080247[/tex]
[tex]D = 72.2\ yd[/tex] (Approximated)
