Final answer:
The length of the rectangle, given that the perimeter is 74 units and the width is 12 units, is calculated using the perimeter formula P = 2l + 2w. After plugging in the values and rearranging the formula, the length is found to be 25 units.
Step-by-step explanation:
The perimeter of a rectangle is calculated by adding two times the length (l) and two times the width (w), which gives us the formula P = 2l + 2w. In this case, the perimeter (P) is given as 74 units, and the width (w) is 12 units. To find the length (l), we need to rearrange the formula to solve for l, which gives us l = (P/2) - w.
By substituting the given values into the rearranged formula, we get:
- l = (74/2) - 12
- l = 37 - 12
- l = 25
Therefore, the length of the rectangle is 25 units.