Question

find the perimeter and area of the figure below.
3 cm
4 cm
2 cm
6 cm
perimeter =
area =

Explanation:

Step1: Calculate Perimeter

The figure can be considered as a rectangle with length 6 cm and height 4 cm (by shifting the horizontal and vertical segments). The perimeter of a rectangle is $P = 2\times (length + height)$.
$$P = 2\times(6 + 4) = 2\times10 = 20\ \text{cm}$$

Step2: Calculate Area

We can split the figure into two rectangles. One rectangle has dimensions 6 cm (length) and 2 cm (height). The other rectangle has dimensions 3 cm (length) and $(4 - 2) = 2$ cm (height).
Area of first rectangle: $A_1 = 6\times2 = 12\ \text{cm}^2$
Area of second rectangle: $A_2 = 3\times2 = 6\ \text{cm}^2$
Total area: $A = A_1 + A_2 = 12 + 6 = 18\ \text{cm}^2$

Answer:

Perimeter = $\boldsymbol{20\ \text{cm}}$
Area = $\boldsymbol{18\ \text{cm}^2}$