Answer:
Length = 22cm
Step-by-step explanation:
Perimeter of a rectangle, P = 2(L + W)
Also, from the question, P = 80 cm
Therefore, P = 2(L +W) = 80
The length is 4 cm longer than the width
then, length, L = 4 + W
Slot in the value of L
2 {(4+W) + W} = 80
2(4 + 2W) = 80
8 + 4W = 80
Subtract 8 from both sides
8 - 8 +4W = 80 -8
4W = 72
Divide both sides by the coefficient of W which is 4
W = 18 cm
Recall,
L = 4 + W
L = 4 + 18
L = 22cm
