Final answer:
The correct perimeter formula is P = 2l + 2w and when given a width of 4 meters and perimeter of 36 meters, we can solve for the length l, which is 14 meters.
Step-by-step explanation:
The question pertains to finding the length of a rectangle when its perimeter (P) and width (w) are given. The formula P = 22 + 2w is used for finding the perimeter of a rectangle, but there seems to be a misunderstanding here as the letter b is mentioned to solve the formula while it isn't part of the equation. The real formula for the perimeter of a rectangle should be P = 2l + 2w, where l is the length and w is the width of the rectangle. To solve for the length (l), we would rearrange this to l = (P - 2w) / 2. In part b, to find the length when the width (w) is 4 meters and the perimeter (P) is 36 meters, we substitute these values into the rearranged formula to get l = (36 - 2(4)) / 2 = (36 - 8) / 2 = 28 / 2 = 14 meters. Therefore, the length of the rectangle is 14 meters.