To find the area of the composite figure, we first calculate the area of the rectangle and then subtract the area of the two triangles.
Area of rectangle = length * width
Area of rectangle = 17 cm * 22 cm
Area of rectangle = 374 square centimeters
Now, let's find the area of the triangles. Since the top horizontal edge of the rectangle measures 17 cm and the bottom horizontal edge measures 17 cm, we know that the top and bottom edges of each triangle must have a length of 17/2 cm, which is 8.5 cm.
The left vertical leg of the triangle is on the right edge of the rectangle and measures the same distance as the left vertical edge of the rectangle, which is 22 cm. Therefore, the height of both triangles is 22 cm.
Area of one triangle = (base * height)/2
Area of one triangle = (8.5 cm * 22 cm)/2
Area of one triangle = 93.5 square centimeters
Since there are two identical triangles, their combined area is 93.5 * 2 = 187 square centimeters.
Now, we subtract the area of the triangles from the area of the rectangle to find the area of the composite figure:
Area of composite figure = Area of rectangle - Area of triangles
Area of composite figure = 374 - 187
Area of composite figure = 187 square centimeters
The area of the composite figure is 187 square centimeters.
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
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.
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