Final answer:
To find the outer perimeter of a rectangle, apply the formula P=2l+2w. For a square with a length of 39.2 meters and a width of 17.5 meters, the perimeter is 113.4 meters. Whereas, for a circle inside a square, the perimeter (circumference) is approximately 6r, where r is the radius.
Step-by-step explanation:
Finding the Outer Perimeter
To calculate the outer perimeter of a given shape, you add up the lengths of all the sides. For example, the perimeter of a rectangle can be found with the formula P = 2l + 2w, where 'l' is the length and 'w' is the width. So, if we have a town square with a length of 39.2 meters and a width of 17.5 meters, using the formula the perimeter would be P=2(39.2) + 2(17.5) which equals to 113.4 meters.
Also, by understanding the relationship between the side length of a square and the diameter of a circle that fits within it (a = 2r), we can infer that the circle's perimeter, which is the circumference, should be close to 6r. Therefore, knowing that the circumference of a circle is C = 2πr, it can be established that the circle's perimeter is less than the square's but larger than the distance across the square, leading to a perimeter value between 2a and 4a, and is approximately 3a or 6r for our purposes.