Delores wants to put in a fence for her dogs to run around in the yard.. The
rectangular fence has a length that is triple the width. The width is x - 2. If
the perimeter of the fence is 200 ft2, what is the length?

Respuesta :

Answer:

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Step-by-step explanation:

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.

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