
To calculate: The area of the parallelogram and its figure on coordinate plane.

Answer to Problem 20E
The area of the parallelogram is
Explanation of Solution
Given information:
The four vertices of the parallelogram
Formula used:
Area of a parallelogram is the product of its base and height. So, if b is the base and h is its height, area of parallelogram is calculated as,
Calculation:
Consider the given four vertices of the parallelogram
Observe that all the points lie in the first quadrant of the coordinate plane, so, plot the points in first quadrant of the coordinate plane and join the vertices to form the parallelogram as,
In the above figure, it is observed that the base of parallelogram is 4 units and its height is 4 units.
Recall that the area of a parallelogram is the product of its base and height. So, if b is the base and h is its height, area of parallelogram is calculated as,
Apply it,
Thus, area of the parallelogram is
Chapter 1 Solutions
Precalculus - A Custom Text for UNLV
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