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
268 square centimeters
268 square centimeters
70 square centimeters
70 square centimeters
400 square centimeters
400 square centimeters
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To find the area of the composite figure, we need to calculate the area of each individual shape and then add them together.
- Area of the left rectangle: 7 cm * 16 cm = 112 square centimeters
- Area of the middle rectangle: 6 cm * 4 cm = 24 square centimeters
- Area of the right rectangle: 7 cm * 16 cm = 112 square centimeters
- Area of the small rectangle in the center: 5 cm * 4 cm = 20 square centimeters
Adding all the areas together: 112 + 24 + 112 + 20 = 268 square centimeters
Therefore, the area of the polygon is 268 square centimeters.
The correct answer is: 268 square centimeters