The formula for perimeter is :
Perimeter = length + length + width + width
For the purpose of solving this, I’ll use L for length and W for width, and I’ll simplify the above formula by adding similar terms:
Perimeter = 2L + 2W
We know what the perimeter is, so you can use that in the equation
2L + 2W = 56
We know that the width is six meters less than the length, so:
W - 6 = L
You can plug that equation into the place of L to solve for W
2(w - 6) + 2w = 56
2w - 12 + 2w = 56
4w - 12 = 56
4w = 68
W = 17
Now that you know the length, you can use the equation we came up with earlier to solve for L
W - 6 = L
17 - 6 = L
11 = L