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
268 square centimeters
268 square centimeters
400 square centimeters
400 square centimeters
70 square centimeters
70 square centimeters
112 square centimeters
112 square centimeters
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To find the area of the polygon, we need to calculate the areas of each individual rectangle and then add them together.
The area of the first rectangle on the left is 7cm x 16cm = 112 square centimeters.
The area of the second rectangle in the middle is 4cm x 6cm = 24 square centimeters.
The area of the third rectangle on the right is 7cm x 16cm = 112 square centimeters.
The area of the smaller rectangle in the center of the right rectangle is 4cm x 5cm = 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.