Final answer:
To determine the perimeter of a rectangular pool with the length being 2 meters shorter than twice its width, we use the formula P = 2 * ((2w - 2) + w). The expression simplifies to P = 2 * (3w - 2), which calculates the perimeter once the width is known.
Step-by-step explanation:
To find the perimeter of a rectangle when the length is 2 meters shorter than twice its width, we use the formula perimeter (P) = 2 imes (length + width). Let the width be represented by w, then the length is 2w - 2 meters. By substituting these into the formula, the expression for the perimeter of the pool becomes P = 2 imes ((2w - 2) + w), which simplifies to P = 2 imes (3w - 2).
Without specific measurements for the width of the pool, we cannot calculate an exact numerical value for the perimeter. However, with the given formula, one can determine the perimeter once the width (w) is known. In practice, if the width of the pool is, for instance, 5 meters, plugging the value into the expression would give us the perimeter: P = 2 imes (3(5) - 2) = 2 imes (15 - 2) = 2 imes 13 = 26 meters. The perimeter of a rectangular pool can be found by adding the lengths of all its sides. Given that the length of the pool is 2m shorter than twice its width, we can express the length as 2w-2, where w is the width. The width remains as w. Therefore, the perimeter can be calculated as 2(2w-2) + 2w, which simplifies to 6w-4.
Substituting the values we have, we get 6(17.5) - 4 = 105 - 4 = 101 meters. Therefore, the perimeter of the rectangular pool is 101 meters.