Question

The perimeter of a rectangular parking lot is 286 m.

If the width of the parking lot is 56 m, what is its length?

Answer 1

87 metres

Explanation:

The perimeter of the parking lot is 286 metres, while it is 56m in width.

The formula for the perimeter of a rectangle is:

`P = 2(l+w)\\P = 2l + 2w`

with l and w as the the length and width, respectively.

The problem has two givens, perimeter and width.

`286 = 2l + 2w\\286 = 2l + 2(56)\\286 - 112 = 2l\\174 = 2l\\(174)/(2) = l\\l=87`

The length of the lot is 87 meters.