Without a visual aid or a specific description of the rectangle and the shaded triangle, it is difficult to provide an exact answer. However, we can make some general observations and use some basic math principles to determine a possible range of values for the area of the entire rectangle.
Since the shaded triangle is part of the rectangle, the area of the rectangle must be larger than the area of the triangle.
If the base of the triangle is b and the height is h, then the area of the triangle is given by A = (1/2)bh.
If we know the base and height of the triangle, we can use this information to calculate the dimensions of the rectangle. For example, if the base of the triangle is 12 cm and the height is 14 cm, then the rectangle must have a length of at least 12 cm and a width of at least 14 cm.
Once we know the dimensions of the rectangle, we can calculate its area by multiplying its length and width.
Based on these observations, we can say that the area of the entire rectangle must be greater than or equal to 12 cm x 14 cm = 168 cm^2, since the area of the shaded triangle is 84 cm^2. However, we cannot determine the exact area of the rectangle without more information about its dimensions.