Respuesta :
The lenght of rectangular fence is 75 ft.
What is Perimeter?
The length of total outer border of a geometrical figure is called Perimeter of that figure.
If the length of a rectangle is l and width is w then the perimeter P is given by,
P = 2(l + w)
Here in the given problem it is given that the width of the rectangle is = x - 2
and the lenght is triple of the width.
Then the length = 3(x - 2)
So the Perimeter is = 2 [3(x-2) + (x-2)] = 2[4(x-2)] = 8(x-2)
and it is also given that tbe Perimeter of the fence is 200 ft.
according to condition,
8(x-2) = 200
x - 2 = 800/2
x - 2 = 25
x = 25 + 2 = 27
So the lenght = 3(x-2) = 3(27-2) = 3*25 = 75 ft.
Learn more about Perimeter here -
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