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16. the perimeter of a rectangular parking lot is 780 feet. if the park…

Question

  1. the perimeter of a rectangular parking lot is 780 feet. if the parking lot is 150 feet wide, how long is it?

Explanation:

Step1: Recall perimeter formula

The perimeter formula for a rectangle is $P = 2(l + w)$, where $P$ is perimeter, $l$ is length and $w$ is width.

Step2: Substitute known values

We know $P = 780$ and $w = 150$. So, $780=2(l + 150)$.

Step3: Solve for $l$

First, divide both sides by 2: $\frac{780}{2}=l + 150$, which gives $390=l + 150$. Then subtract 150 from both sides: $l=390 - 150$.

Answer:

240 feet