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The top horizontal edge of the rectangle measures 17 centimeters, the left vertical edge of the rectangle measures 22 centimeters, and the bottom horizontal edge measures 17 centimeters. The left vertical leg is on the right edge of the rectangle with v
Calculate the area of the composite figure, which is not drawn to scale.
If it is a rectangle the area is 17* 22
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To calculate the area of the composite figure, we need to find the area of each individual shape and then add them together.
First, let's find the area of the rectangle. We know that the top horizontal edge measures 17 cm and the left vertical edge measures 22 cm. The formula to calculate the area of a rectangle is A = length x width. So for this rectangle, A = 17 cm x 22 cm.
Next, let's find the area of the right triangle. We can see that the right triangle is formed on the right side of the rectangle. The base of the triangle is the same as the height of the rectangle, which is 22 cm. The formula to calculate the area of a triangle is A = (1/2) x base x height. So for this right triangle, A = (1/2) x 22 cm x 17 cm.
Now let's add the areas of the rectangle and the right triangle together to find the total area of the composite figure.
Total area = Area of rectangle + Area of right triangle
Total area = (17 cm x 22 cm) + [(1/2) x 22 cm x 17 cm]
Now, let's calculate the total area using the above formula:
Total area = 374 cm^2 + 187 cm^2
Total area = 561 cm^2
Therefore, the area of the composite figure is 561 square centimeters.