A rectangular parking lot has a perimeter of 232 feet. the length of the parking lot is 36 feet less then the width. find the le

Question

Alenkasestr [34]

2 years ago

12

A rectangular parking lot has a perimeter of 232 feet. the length of the parking lot is 36 feet less then the width. find the le

ngth and width.

Mathematics

1 answer:

Troyanec [42] · Answer 1 · 2022-06-28T00:23:16+03:00

Answer:

Length: 40 Width: 76

Step-by-step explanation:

W is width, and L is length.

We know that the length is 36 less than the width, so L = w - 36. Two times the width plus two times the length equals the perimeter, so set up the equation for the perimeter as:

232 = 2w + 2(w-36)

Now solve for w:

232 = 2w + 2w - 72

304 = 4w

w = 76

we now know that the width is 76, so solve for the length:

L= 76-36

L = 40