Question

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

Explanation:

Step1: Divide the shape into rectangles

We can divide the given shape into two rectangles. One rectangle with length 4 mm and width 2 mm, and another rectangle with length 2 mm and width 3 mm.

Step2: Calculate area of first rectangle

The area formula for a rectangle is $A = l\times w$. For the first rectangle with $l = 4$ mm and $w = 2$ mm, $A_1=4\times2 = 8$ $mm^2$.

Step3: Calculate area of second rectangle

For the second rectangle with $l = 2$ mm and $w = 3$ mm, $A_2=2\times3 = 6$ $mm^2$.

Step4: Calculate total area

The total area $A$ of the shape is the sum of the areas of the two rectangles, $A=A_1 + A_2=8 + 6=14$ $mm^2$.

Answer:

14