Question

what is the area of this figure?
2 mm
3 mm
2 mm
11 mm
6 mm
3 mm
2 mm
7 mm
square millimeters

Explanation:

Step1: Split figure into 3 rectangles

We can divide the shape into three vertical rectangles:

1. Left rectangle: width $2\ \text{mm}$, height $11\ \text{mm}$
2. Middle rectangle: width $2\ \text{mm}$, height $6\ \text{mm}$
3. Bottom rectangle: width $3\ \text{mm}$, height $2\ \text{mm}$

Step2: Calculate area of each rectangle

Area of left rectangle: $\text{Area}_1 = 2 \times 11 = 22\ \text{mm}^2$
Area of middle rectangle: $\text{Area}_2 = 2 \times 6 = 12\ \text{mm}^2$
Area of bottom rectangle: $\text{Area}_3 = 3 \times 2 = 6\ \text{mm}^2$

Step3: Sum all rectangle areas

Total area = $\text{Area}_1 + \text{Area}_2 + \text{Area}_3$
$= 22 + 12 + 6$

Answer:

$40$ square millimeters