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Find the area of the complex figure.
A figure has 8 sides; all sides meet at right angles. The left-most vertical side measures 31 meters. The lower most horizontal side measures 69 meters. The right-most vertical side measures 31 meters. The upper right horizontal side measures 23 meters. The middle horizontal side measures 23 meters. The upper middle left vertical side measures 12 meters.
To find the area of the complex figure, we need to divide it into smaller rectangles and then add the areas of those rectangles together.
First, we can divide the figure into three rectangles:
- The left rectangle has a height of 31 meters and a width of 12 meters.
- The middle rectangle has a height of 23 meters and a width of 31 meters.
- The right rectangle has a height of 23 meters and a width of 12 meters.
To find the area of the left rectangle, we multiply its height and width:
Area = 31 meters x 12 meters
Area = 372 square meters
To find the area of the middle rectangle, we multiply its height and width:
Area = 23 meters x 31 meters
Area = 713 square meters
To find the area of the right rectangle, we multiply its height and width:
Area = 23 meters x 12 meters
Area = 276 square meters
Now we can add up the areas of the three rectangles to find the total area of the complex figure:
Total Area = 372 square meters + 713 square meters + 276 square meters
Total Area = 1361 square meters
Therefore, the area of the complex figure is 1361 square meters.