Problem

*Gel ready for analytic geometry $x$ Quiz 1 Rectangle $A B C D$ is graphed in the coordinate plane. The following are the vertices of the rectangle: $A(-7,-5), B(-7,6), C(-4,6)$, and $D(-4,-5)$ Given these coordinates, what is the length of side $C D$ of this rectangle? units Report a problem

Solution

Step 1 :Given the coordinates of points C and D as C = (-4, 6) and D = (-4, -5) respectively.

Step 2 :Since they have the same x-coordinate, the length of side CD of the rectangle can be calculated by finding the difference in the y-coordinates of points C and D.

Step 3 :This is because the length of a vertical line segment in the coordinate plane is the difference in the y-coordinates of its endpoints.

Step 4 :So, the length of side CD = |6 - (-5)| = 11.

Step 5 :Final Answer: The length of side CD of the rectangle is \(\boxed{11}\) units.

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Source: https://solvelyapp.com/problems/16847/

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