Let's find the area of this figure by breaking it into simple shapes, such as rectangles.
Break the figure into rectangles:
At the bottom: Rectangle with dimensions 15 cm x 12 cmAt the top left: Rectangle with dimensions 6 cm x 10 cmAt the top right: Rectangle with dimensions 9 cm x 3 cm
Compute the area of each rectangle:
Bottom rectangle: (15 \text{ cm} \times 12 \text{ cm} = 180 \text{ square cm})Top left rectangle: (6 \text{ cm} \times 10 \text{ cm} = 60 \text{ square cm})Top right rectangle: (9 \text{ cm} \times 3 \text{ cm} = 27 \text{ square cm})
Add up the areas of the rectangles to get the total area:
(180 \text{ square cm} + 60 \text{ square cm} + 27 \text{ square cm} = 267 \text{ square cm})
Therefore, the area of the figure is (267) square centimeters.
