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The length and width of the fence should be made 76.25 feet and 23.75 feet respectively. Also, the expression for the length is L = 3W + 5 and the perimeter is P = 2(4W + 5).

How to determine the fence's dimension?

Mathematically, the perimeter of a rectangle can be calculated by using this formula;

P = 2(L + W)

Where:

  • P is the perimeter of a rectangle.
  • L is the length of a rectangle.
  • W is the width of a rectangle.

Since the length of this fence is 5 more than 3 times the width, we have:

L = 3W + 5

Substituting the given parameters into the formula, we have;

200 = 2(3W + 5 + W)

200 = 2(4W + 5)

200 = 8W + 10

8W = 190

W = 190/8

W = 23.75 feet.

For the length, we have:

L = 3W + 5

L = 3(23.75) + 5

L = 76.25 feet.

Read more on perimeter of a rectangle here: https://brainly.com/question/17107023

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