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A drawing of a sailboat was made using a rectangle and two right triangles, as shown.
What is the area of the drawing of the sailboat in square centimeters?
To find the area of the sailboat drawing, we need to find the area of the rectangle and the two right triangles separately, and then add them together.
The rectangle has dimensions of 12 cm by 6 cm, so its area is:
Area of rectangle = length x width = 12 cm x 6 cm = 72 square cm
Each right triangle has a base of 6 cm and a height of 6 cm, so their areas are:
Area of right triangle = 0.5 x base x height = 0.5 x 6 cm x 6 cm = 18 square cm
Since there are two right triangles, the total area of both triangles is:
Total area of both triangles = 2 x 18 square cm = 36 square cm
Adding the areas of the rectangle and the two triangles together:
Total area of sailboat drawing = 72 square cm + 36 square cm = 108 square cm
Therefore, the area of the drawing of the sailboat is 108 square centimeters.