Discrete Mathematics

Question

If you were building a wooden frame for a window and the length needed to be 7 inches

longer than the width. What are the dimensions of the wood needed for the frame if the 

total perimeter of the frame could be no more than 54 inches.

Answer 1

L=7+W

Perimeter <54

2L+ 2W < 54

2(7+W) + 2W < 54

14 + 2W + 2W < 54

4W < 40

W < 10

L< 17

Length no more than 17 inches, width no more than 10 inches