The perimeter is the total of adding all of the sides together. A rectangle has 2 lengths and 2 widths. The equation would be:
P = 2l + 2w or P = l + l + w + w
Since you know the perimeter, you can plug it into the equation
53 = 2l + 2w
You can divide the 2 on both sides
26.5 = l + w
l = w + 2.3 because the length is 2.3 meters longer/more than the width. You can substitute (w + 2.3) for "l" in the equation. So instead of:
26.5 = l + w
It will be:
26.5 = (w + 2.3) + w
26.5 = w + 2.3 + w
Subtract 2.3 on both sides
24.3 = w + w
24.3 = 2w
Divide 2 on both sides
12.1 = w
The width is 12.1 meters