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 first need to calculate the area of the rectangle and the two right triangles separately.
Rectangle:
The rectangle has a width of 8 cm and a height of 5 cm. The area of a rectangle is calculated as length x width.
Area = 8 cm x 5 cm = 40 square cm
Right triangles:
Each right triangle has a base of 8 cm and a height of 5 cm. The area of a triangle is calculated as 1/2 x base x height.
Area of one triangle = 1/2 x 8 cm x 5 cm = 20 square cm
Since there are two triangles, the total area of the two triangles is 20 square cm x 2 = 40 square cm
Now, add the areas of the rectangle and the two triangles to find the total area of the sailboat drawing:
Total area = Area of rectangle + Area of triangles
Total area = 40 square cm + 40 square cm = 80 square cm
Therefore, the area of the drawing of the sailboat in square centimeters is 80 square cm.