The length of diagonal path is: 5√13
Step-by-step explanation:
Given
Length of lawn = l = 15m
Width of lawn = w = 10m
The diagonal of a rectangle divides the rectangle in two right angled-triangles in which the diagonal is the hypotenuse and width will be base and length will be perpendicular.
So we can use the Pythagoras theorem to find the length of diagonal
[tex]H^2 = B^2+P^2\\[/tex]
Let d be the diagonal
Putting the values
[tex]d^2 = w^2+l^2\\d^2 = (10)^2+(15)^2\\d^2 = 100 + 225\\d^2 = 325\\[/tex]
Taking square root on both sides
[tex]\sqrt{d^2} = \sqrt{325}\\d = \sqrt{25*13}\\d = \sqrt{5^2*13}\\d = 5\sqrt{13}[/tex]
The length of diagonal path is: 5√13
Keywords: Triangle, rectangle
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