Respuesta :
Answer:
150 metres
Step-by-step explanation:
We can imagine the rectangle, when cut diagonally it forms a Right angled Triangle
Using this we can find the diagonal i.e hypotenuse.
From the question we know that,
Length = 120 metres
Width = 90 metres
So we can find the diagonal by keeping it as x using the pythogorean theorem.
[tex] {120}^{2} + {90}^{2} = {x}^{2} \\ 14400 + 8100 = {x}^{2} \\ 22500 = {x}^{2} \\ x = \sqrt{22500} \\ x = 150[/tex]