What is the area of a parallelogram created by the lines 2x - y - 4 = 0, 2x - y + 3 = 0, y = 4 and y = -3

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The area of a parallelogram has to be determined where the sides are are the lines 2x - y - 4 = 0, 2x - y + 3 = 0, y = 4 and y = -3.

A graph of the parallelogram is given below:

The area of a parallelogram is given by A = b*h where b is the base, or the length of any one of the sides and h is the perpendicular distance between the side and the opposite side.

In the parallelogram given, the length of a shorter side is 2 + 3/2 = 3.5. The perpendicular distance between this side and the opposite side is 4 + 3 = 7

Using the formula given earlier, the area of the parallelogram is 3.5*7 = 24.5

The area of the parallelogram is 24.5 square units.

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