Area of Polygons Quick Check
2 of 52 of 5 Items
Question
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
To find the area of the polygon, we need to find the area of each individual rectangle and then add them up.
Area of left rectangle: 7cm x 16cm = 112 square cm
Area of middle rectangle: 4cm x 6cm = 24 square cm
Area of right rectangle: 7cm x 16cm = 112 square cm
Area of small rectangle in the center: 5cm x 4cm = 20 square cm
Total area = 112 + 24 + 112 + 20 = 268 square centimeters
Therefore, the correct answer is:
268 square centimeters