The length of the rectangle is 12 cm, the width is 1/4 of the length. Find the perimeter of the rectangle and calculate its area.

Let’s first find the width of the rectangle:
12 * 1/4 = 3 (cm) – the width of the rectangle.
We calculate the perimeter using the formula:
P = 2a + 2b
where a = 3 cm is the width of the rectangle,
b = 12 cm – the length of the rectangle.
P = 2 * 3 + 2 * 12 = 6 + 24 + 30 (cm) – the perimeter of the rectangle.
We calculate the area of the rectangle using this formula:
S = ab
S = 3 * 12 = 36 (cm ^ 2) – the area of the rectangle.
Answer: the perimeter of the rectangle is P = 30 cm, the area of the rectangle is S = 36 cm ^ 2.