To find the area of the first figure, which is a square, we can use the formula for the area of a square: A = s^2, where s is the length of a side.
In this case, the length of a side is 9, so the area of the square is A = 9^2 = 81.
To find the altitude of the parallelogram, we can use the formula for the area of a parallelogram: A = base * altitude.
We are given that the base of the parallelogram is 13, and we need to find the altitude. Since the area of the combined figure is given as 99, we can set up the equation:
81 + 13 * altitude = 99
Subtracting 81 from both sides:
13 * altitude = 18
Dividing both sides by 13:
altitude = 18/13
Therefore, the altitude of the parallelogram is 18/13.
Since the area of the combined figure is given as 99, and the area of the square is 81, the area of the parallelogram must be 99 - 81 = 18.
Therefore, the area of the combined figure is 81 + 18 = 99.
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