find the area of the shape. (sides meet at right angles.)

Explanation:

Step1: Divide the shape into rectangles

We can divide the given shape into two rectangles. One rectangle has dimensions 5 mm by 2 mm and the other has dimensions 2 mm by 6 mm.

Step2: Calculate area of first rectangle

The area formula for a rectangle is $A = l\times w$. For the first rectangle with length $l = 5$ mm and width $w = 2$ mm, $A_1=5\times2 = 10$ $mm^2$.

Step3: Calculate area of second rectangle

For the second rectangle with length $l = 2$ mm and width $w = 6$ mm, $A_2=2\times6 = 12$ $mm^2$.

Step4: Calculate total area

The total area $A$ of the shape is the sum of the areas of the two rectangles, $A=A_1 + A_2=10 + 12=22$ $mm^2$.

Answer:

22 $mm^2$