what is the area of this figure? square millimeters

Answer

Explanation:

Step1: Divide the figure into two rectangles

We can divide the L - shaped figure into a vertical rectangle and a horizontal rectangle. The vertical rectangle has dimensions 2 mm by 12 mm and the horizontal rectangle has dimensions 3 mm by 5 mm.

Step2: Calculate the area of the vertical rectangle

The area formula for a rectangle is $A = l\times w$. For the vertical rectangle with length $l = 12$ mm and width $w = 2$ mm, $A_1=12\times2 = 24$ $mm^2$.

Step3: Calculate the area of the horizontal rectangle

For the horizontal rectangle with length $l = 5$ mm and width $w = 3$ mm, $A_2 = 5\times3=15$ $mm^2$.

Step4: Calculate the total area

The total area $A$ of the figure is the sum of the areas of the two rectangles, $A=A_1 + A_2$. So $A=24 + 15=39$ $mm^2$.