Area of Polygons Quick Check

Question

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

70 square centimeters
70 square centimeters

112 square centimeters
112 square centimeters

400 square centimeters
400 square centimeters

268 square centimeters

Answer 1

To find the area of the polygon, we need to find the area of each individual rectangle and then add them up.

1. Area of the left rectangle: 7cm * 16cm = 112 square centimeters
2. Area of the middle rectangle: 6cm * 4cm = 24 square centimeters
3. Area of the small rectangle in the center: 5cm * 4cm = 20 square centimeters
4. Area of the right rectangle: 7cm * 16cm = 112 square centimeters

Adding all the areas together:
112 + 24 + 20 + 112 = 268 square centimeters

Therefore, the area of the polygon is 268 square centimeters.

The correct response is:
268 square centimeters