Final answer:
The result of applying the distance formula to find the perimeter of the given rectangle is 3434, when rounded to the nearest integer, thus the correct option is b.
Step-by-step explanation:
The distance formula is used to calculate the distance between two points in a plane, and can be used to calculate the perimeter of a rectangle. The distance formula is written as d = √((x2 - x1)2 + (y2 - y1)2), where d is the distance between two points (x1, y1) and (x2, y2). To calculate the perimeter of a rectangle, the distance formula must be used twice, once for each side of the rectangle.
For the given rectangle, the sides have lengths of 3333 and 3434. Using the distance formula, each side of the rectangle is calculated, and the total perimeter is the sum of the two distances. The answer when rounded to the nearest integer is 3434.
To calculate the perimeter, the distance formula is used to calculate the length of each side of the rectangle. The formula is written as d = √((x2 - x1)2 + (y2 - y1)2), where d is the distance between two points (x1, y1) and (x2, y2). Therefore, to calculate the length of one side of the rectangle, the coordinates of two of its points must be known.
For the given rectangle, the two points that define one side are (0, 0) and (3333, 0). Plugging these points into the distance formula gives d = √((3333 - 0)2 + (0 - 0)2). Simplifying this equation gives d = 3333. The length of the other side is 3434, so the total perimeter is the sum of the two distances, 3333 + 3434 = 6767. When rounded to the nearest integer, the perimeter of the rectangle is 3434.