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
400 square centimeters
400 square centimeters
112 square centimeters
112 square centimeters
70 square centimeters
70 square centimeters
268 square centimeters
To find the area of the polygon, we first need to calculate the areas of each individual rectangle and then sum them up.
1. Area of the left vertical rectangle: 7 cm * 16 cm = 112 square cm
2. Area of the small connecting rectangle: 6 cm * 4 cm = 24 square cm
3. Area of the right vertical rectangle: 7 cm * 16 cm = 112 square cm
4. Area of the central small rectangle: 5 cm * 4 cm = 20 square cm
Total area = 112 + 24 + 112 + 20 = 268 square cm
Therefore, the area of the polygon is 268 square centimeters.
So, the correct answer is: 268 square centimeters
wrong
I apologize for the mistake. Let's recalculate the area of the polygon using the correct measurements.
1. Area of the left vertical rectangle: 7 cm * 16 cm = 112 square cm
2. Area of the small connecting rectangle: 6 cm * 4 cm = 24 square cm
3. Area of the right vertical rectangle: 7 cm * 16 cm = 112 square cm
4. Area of the central small rectangle: 5 cm * 4 cm = 20 square cm
Total area = 112 + 24 + 112 + 20 = 268 square cm
Therefore, the area of the polygon is 268 square centimeters.
So, the correct answer is: 268 square centimeters