L = length
W = width
P = perimeter
P = 26m
L = W + 5 [the length is 5 more than the width]
The perimeter is the total of adding all of the side lengths together.
P = L + L + W + W or P = 2L + 2W
Because L = W + 5, you can substitute/plug in (W + 5) for "L" in the equation
P = 2L + 2W
P = 2(W + 5) + 2W Multiply 2 into (W + 5)
P = 2W + 10 + 2W Combine like terms
P = 4W + 10
Since you know the perimeter is 26, plug 26 in for "P"
26 = 4W + 10 Subtract 10 on both sides
16 = 4W Divide 4 on both sides
4 = W
Now that you know the width, you can find the length
L = W + 5
L = 4 + 5
L = 9
The width is 4 m, the length is 9 m.
