Answer: the length of the rectangle is 19 cm and the width is 13 cm.
Step-by-step explanation:
Let L represent the length of the rectangle.
Let W represent the width of the rectangle.
The length of a rectangle is 6 cm longer than its width. This means that
L = W + 6
The formula for determining the perimeter of a rectangle is expressed as
Perimeter = 2(L + W)
If the perimeter of the rectangle is 64 cm, it means that
2(L + W) = 64
Dividing both sides by 2,
L + W = 32 - - - - - - - - - - - - - 1
Substituting L = W + 6 into equation 1, it becomes
W + 6 + W = 32
2W = 32 - 6 = 26
W = 26/2 = 13
L = W + 6 = 13 + 6
L = 19
