54.8k views
2 votes
A rectangular parking lot has a perimeter of 232 feet. The length of the parking lot is 36 feet less than the width. Find the length and the width.

User Mfs
by
7.2k points

1 Answer

3 votes

Answer:

The rectangular parking lot has a width of 76 feet and a length of 40 feet

Explanation:

Let's find the length and the width of the rectangular parking lot, this way:

Perimeter = 232 feet

Perimeter = 2 Length + 2 Width

Length = Width - 36 feet

Now, substituting, we have:

2 (Width - 36) + 2 Width = 232

2 Width - 72 + 2 Width = 232

4 Width = 232 + 72

4 Width = 304

Width = 304/4 = 76 feet

Length = 76 - 36 = 40 feet

The rectangular parking lot has a width of 76 feet and a length of 40 feet

User Mohammad Saberi
by
7.7k points