The perimeter of a rectangle is 26 meters. The difference between the length and the width is 5 meters. Find the width

l - lenght

w - width

l - w = 5 → l = 5 + w

26 m - perimeter

l + l + w + w = 2l + 2w - perimeter

substitute l = 5 + w:

2 (5 + w) + 2w = (2) (5) + (2) (w) + 2w = 10 + 2w + 2w = 10 + 4w

The equation:

10 + 4w = 26 subtract 10 from both sides

4w = 16 divide both sides by 4

w = 6

Answer: The width = 6 m.