Given:
Rectangle shape.
Length is 3 feet longer than its width
Width is unknown let it be x.
Perimeter is 26 feet
Perimeter = 2Length + 2Width
26 ft = 2(x+3) + 2x
26 ft = 2x + 6 + 2x
26 ft = 4x +6
26 ft - 6 = 4x
20 ft = 4x
20 ft / 4 = x
5 ft = x
The width is 5 feet.
Length is 3 ft longer than the width. Thus, it is 8 feet.
To check:
perimeter = 2L + 2W
26 ft = 2(8ft) + 2(5ft)
26 ft = 16 ft + 10ft
26 ft = 26 ft