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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

400 square centimeters
400 square centimeters

112 square centimeters
112 square centimeters

70 square centimeters
70 square centimeters

268 square centimeters

Answer 1

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

1. Area of the left rectangle:
Length = 7 cm
Width = 16 cm
Area = Length x Width
Area = 7 cm x 16 cm
Area = 112 square cm

2. Area of the center rectangle:
Length = 4 cm
Width = 5 cm
Area = Length x Width
Area = 4 cm x 5 cm
Area = 20 square cm

3. Area of the right rectangle:
Length = 7 cm
Width = 16 cm
Area = Length x Width
Area = 7 cm x 16 cm
Area = 112 square cm

Now, add up the areas of the three rectangles:
112 square cm + 20 square cm + 112 square cm = 244 square cm

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