Question

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 with length 6 mm and width 2 mm, and another rectangle with length 3 mm and width 1 mm.

Step2: Calculate area of first rectangle

The area formula for a rectangle is $A = l\times w$. For the first rectangle with $l = 6$ mm and $w = 2$ mm, $A_1=6\times2 = 12$ $mm^2$.

Step3: Calculate area of second rectangle

For the second rectangle with $l = 3$ mm and $w = 1$ mm, $A_2=3\times1 = 3$ $mm^2$.

Step4: Calculate total area

The total area $A$ of the shape is the sum of the areas of the two rectangles. $A=A_1 + A_2=12+3=15$ $mm^2$.

Answer:

15 square millimeters