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 has dimensions 6 mm by 2 mm and the other has dimensions 4 mm by 3 mm.

Step2: Calculate area of first rectangle

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

Step3: Calculate area of second rectangle

For the second rectangle with length $l = 4$ mm and width $w = 3$ mm, the area $A_2 = 4\times3=12$ $mm^2$.

Step4: Calculate total area

The total area $A$ of the shape is the sum of the areas of the two rectangles, so $A=A_1 + A_2=12 + 12=24$ $mm^2$.

Answer:

24