SOLUTION: Find the area of the rectangle whose vertices are the points with coordinates (5,2),(5,-6),(0,-6),and (0,2).

Question 1003842: Find the area of the rectangle whose vertices are the points with coordinates (5,2),(5,-6),(0,-6),and (0,2).
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
the rectangle whose vertices are the points with coordinates:
(,),(,),(,),and (,)

as you can see, the length of the rectangle is the distance between the points (,) and (,)
and the width is the distance between the points (,) and (,)
the length is:

Solved by pluggable solver: Distance between two points in two dimensions

The distance (denoted by d) between two points in two dimensions is given by the following formula:

Thus in our case, the required distance is

For more on this concept, refer to Distance formula.

the width is :

Solved by pluggable solver: Distance between two points in two dimensions

The distance (denoted by d) between two points in two dimensions is given by the following formula:

Thus in our case, the required distance is

For more on this concept, refer to Distance formula.

so, the area is:=>=>

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