If the perimeter of a rectangular sign is 44cm and the width is 2cm shorter than half the length, th

If the perimeter of a rectangular sign is 44cm and the width is 2cm shorter than half the length, then what are the length and width?

The perimeter (P) of a rectangle is:
2l + 2w = P

We're given P = 44, so we substitute this into the rectangle perimeter equation:
2l + 2w = 44

We're also given w = 0.5l - 2. Substitute the into the Perimeter equation:
2l + 2(0.5l - 2) = 44

Multiply through and simplify:
2l + l - 4 = 44

Combine like terms:
3l - 4 = 44

Type this equation into the search engine, and we get:
l = 16

Substitute this back into the equation w = 0.5l - 2
w = 0.5(16) - 2
w = 8 - 2
w = 6