Answer is Length = 45 cm
Step by step
We know the perimeter is 100 cm
We know the width is 5 cm
We are looking for it’s length
The formula for perimeter
P = 2L + 2W
100 = 2L + (2)(5)
100 = 2L + 10
Subtract 10 from both sides to isolate variable
100 - 10 = 2L + 10 - 10
90 = 2L
Divide both sides by 2 to solve
90/2 = 2/2 L
45 = Length