Question

what is the area of this figure? square millimeters

Explanation:

Step1: Divide the figure into rectangles

We can divide the given figure into two rectangles. One rectangle with length 17 mm and width 3 mm, and another rectangle with length 8 mm and width 8 mm.

Step2: Calculate area of first rectangle

The area formula for a rectangle is $A = l\times w$. For the first rectangle with $l = 17$ mm and $w = 3$ mm, $A_1=17\times3 = 51$ $mm^2$.

Step3: Calculate area of second rectangle

For the second rectangle with $l = 8$ mm and $w = 8$ mm, $A_2 = 8\times8=64$ $mm^2$.

Step4: Calculate total area

The total area $A$ of the figure is the sum of the areas of the two rectangles, $A=A_1 + A_2=51+64 = 115$ $mm^2$.

Answer:

115