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

112 square centimeters
112 square centimeters

268 square centimeters
268 square centimeters

70 square centimeters
70 square centimeters

400 square centimeters

Answer 1

First, calculate the area of each rectangle separately:

1. Left rectangle: 7 cm x 16 cm = 112 square centimeters
2. Center rectangle: 5 cm x 4 cm = 20 square centimeters
3. Right rectangle: 7 cm x 16 cm = 112 square centimeters

Now, add the areas of all three rectangles together:

112 + 20 + 112 = 244 square centimeters

Therefore, the area of the polygon is **244 square centimeters**.

Answer 2

choose one of the options

Answer 3

112 square centimeters