Question

The length of a rectangle is 4 cm more than the width and the perimeter is at least 48 cm. What are the smallest possible dimensions for the rectangle.

Answer 1

Let the width be W, and the length 4 + W.
Perimeter = 2(L + W) = 2(4 + W + W) = 2(4 + 2W) = 8 + 4W
8 + 4W >= 48
4W >= 48 - 8
4W >= 40
W >= 40/4
W >= 10
L >= 4 + 10
L >= 14

Therefore, the smallest possible dimension is length = 14 cm and width = 10 cm