Solve the following equation. Express your answer as an integer, simplified fraction, or decimal rounded to two decimal places. A rectangular-shaped parking lot is to have a perimeter of 624 yards. If the width must be 140 yards because of a building code, what will the length need to be?

To find the length of the parking lot, we can use the formula for the perimeter of a rectangle, which is P = 2L + 2W, where L is the length and W is the width. Given that the perimeter (P) is 624 yards and the width (W) is 140 yards, we can rearrange the formula. First, substitute the width into the formula: 624 = 2L + 2(140). Now simplify the equation: 624 = 2L + 280. Next, subtract 280 from both sides: 624 - 280 = 2L, 344 = 2L. Finally, divide by 2 to find the length: L = 344 / 2 = 172 yards. So, the length of the parking lot needs to be 172 yards.