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
70 square centimeters
70 square centimeters
268 square centimeters
268 square centimeters
400 square centimeters
400 square centimeters
112 square centimeters
112 square centimeters
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First, calculate the areas of the individual rectangles:
- Left rectangle: 7 cm x 16 cm = 112 square cm
- Middle rectangle: 6 cm x 4 cm = 24 square cm
- Right rectangle: 7 cm x 16 cm = 112 square cm
- Small rectangle in center: 5 cm x 4 cm = 20 square cm
Now, add the areas of all the rectangles together:
112 + 24 + 112 + 20 = 268 square cm
Therefore, the area of the polygon is 268 square centimeters.