Final answer:
The perimeter of a rectangle is calculated by doubling the sum of its length and width. The Pythagorean theorem can determine the resultant vector of two perpendicular vectors. Displacement is the straight-line distance from start to end point, and work done on an incline is not solely determined by the height and length of the ramp.
Step-by-step explanation:
The question is assessing knowledge of perimeter, vector addition, forces, and displacement, which are mathematical and physics concepts. Calculating the perimeter of a rectangle or square involves summing the lengths of all sides, using the formula P = 2l + 2w where 'P' is the perimeter, 'l' is the length, and 'w' is the width. As for the rectangular town square with a length of 39.2 meters and a width of 17.5 meters, its perimeter would be 2(39.2) + 2(17.5), which is 113.4 meters. The Pythagorean theorem is indeed applicable to calculate the length of the resultant vector when two vectors are at a right angle to each other, making the statement true. Additionally, a boy pushing a box up a ramp would not necessarily exert a force of exactly 100 N because the work done is influenced by additional factors such as friction and the angle of the ramp. Therefore, without further information, the statement could be false. Finally, when calculating displacement in a two-dimensional plane, the displacement is the straight-line distance from the start point to the end point, regardless of the path taken. Therefore, two people taking different paths but ending at the same point will have the same displacement.