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
70 square centimeters
To find the area of the polygon, we first calculate the area of each individual rectangle and then add them together.
1. The area of the left rectangle is 7 cm x 16 cm = 112 square cm.
2. The area of the middle rectangle is 6 cm x 4 cm = 24 square cm.
3. The area of the right rectangle is 7 cm x 16 cm = 112 square cm.
4. The small rectangle in the center has an area of 5 cm x 4 cm = 20 square cm.
Adding all these areas together, we get 112 + 24 + 112 + 20 = 268 square cm.
Therefore, the area of the polygon is 268 square centimeters.