Question

what is the area of this figure?
2 cm
4 cm 4 cm
6 cm 4 cm
5 cm
8 cm
3 cm
3 cm
9 cm
square centimeters

Explanation:

Step1: Split into 3 rectangles

Divide the figure into three separate rectangular sections: top small rectangle, bottom large rectangle, left small rectangle.

Step2: Calculate top rectangle area

Top rectangle: $l=2\ \text{cm}, w=4\ \text{cm}$
Area: $2 \times 4 = 8\ \text{cm}^2$

Step3: Calculate bottom rectangle area

Bottom rectangle: $l=9\ \text{cm}, w=8-3=5\ \text{cm}$
Area: $9 \times 5 = 45\ \text{cm}^2$

Step4: Calculate left rectangle area

Left rectangle: $l=3\ \text{cm}, w=3\ \text{cm}$
Area: $3 \times 3 = 9\ \text{cm}^2$

Step5: Sum all areas

Add the three areas together.
Expression: $8 + 45 + 9$

Answer:

62 square centimeters