To find the area of the figure with dimensions 3 cm, 5 m, and 7 cm, you can decompose it into two rectangles and then calculate their areas separately.
1. First, consider the rectangle with dimensions 3 cm (length) and 7 cm (width):
Area of the first rectangle = Length × Width = 3 cm × 7 cm = 21 square cm.
2. Now, consider the second rectangle with dimensions 5 m (length) and 7 cm (width). To make the units consistent, convert 5 meters to centimeters (1 meter = 100 cm):
5 m = 5 × 100 cm = 500 cm
Area of the second rectangle = Length × Width = 500 cm × 7 cm = 3500 square cm.
3. Finally, add the areas of both rectangles together:
Total Area = Area of first rectangle + Area of second rectangle = 21 square cm + 3500 square cm = 3521 square cm.
So, the area of the figure is 3521 square cm.