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QUESTION IMAGE

2cm, 4cm, 5cm, 3cm, 9cm

Question

2cm, 4cm, 5cm, 3cm, 9cm

Explanation:

Step1: Split shape into two rectangles

We can divide the figure into a horizontal rectangle (base) and a vertical rectangle (top protrusion).

Step2: Calculate area of base rectangle

The base rectangle has length $9\ \text{cm}$ and width $3\ \text{cm}$.
Area: $9 \times 3 = 27\ \text{cm}^2$

Step3: Calculate height of top rectangle

The vertical height of the top part is $5 - 3 = 2\ \text{cm}$, width is $2\ \text{cm}$.
Area: $2 \times 2 = 4\ \text{cm}^2$

Step4: Sum the two areas

Add the areas of the two rectangles to get total area.
Total Area: $27 + 4 = 31\ \text{cm}^2$

Answer:

$31\ \text{cm}^2$