Use the image to answer the question.
A composite figure is shown with the following measurements: on the left side is a 7cm length by 16cm width vertical rectangle, a 6cm by 4cm rectangle connects the first rectangle to an identical 7cm by 16cm rectangle on the right. In the center of the 16 cm width of the rectangle on the right is another small rectangle with a length of 5cm and width of 4 cm.
What is the area of the polygon?
(1 point)
Responses
112 square centimeters
112 square centimeters
70 square centimeters
70 square centimeters
400 square centimeters
400 square centimeters
268 square centimeters
268 square centimeters
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The area of a polygon is calculated by adding up the areas of each individual shape that make up the composite figure.
In this case, there are two 7cm by 16cm rectangles, which have an area of 7 * 16 = 112 square centimeters each.
There is also a 6cm by 4cm rectangle and a 5cm by 4cm rectangle, which have areas of 6 * 4 = 24 square centimeters and 5 * 4 = 20 square centimeters, respectively.
Adding these areas together, we get:
112 + 112 + 24 + 20 = 268 square centimeters
Therefore, the area of the polygon is 268 square centimeters.