The dimension of the pool that Sam needs to build a fence is 23.75 ft and 76.25 ft.
What is a rectangle?
It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a rectangle, opposite sides are parallel and equal and each angle is 90 degrees. And its diagonals are also equal and intersect at mid-point.
Sam needs to build a fence around his pool.
The pool and the sidewalk around it have a distance of 200 feet, so the perimeter of the fence needs to be at least 200 feet.
The length of the fence is five more than three times the width. That is
L = 3W + 5
Then by the formula of the perimeter.
[tex]\rm P\ \ = 2(L+W)\\\\200 = 2(3W + 5 + W)\\\\100 = 4W + 5\\\\9\ 5 = 4W\\\\W \ = 23.75[/tex]
Then the length will be
L = 3(23.75) + 5
L = 71.25 + 5
L = 76.25 ft
Thus, the dimension of the pool that Sam needs to build a fence is 23.75 ft and 76.25 ft.
More about the rectangle link is given below.
https://brainly.com/question/10046743
