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Question

The vertices of a quadrilateral is shown in the below graph. Find the perimeter of the quadrilateral.


A
30 units
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B
32 units
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C
18 units
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D
22 units
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Solution

The correct option is B 32 units
The four vertices are plotted in the given graph.

Coordinates of vertex A are (-3, 4).

Coordinates of vertex B are (4, 4).

Distance between A and B is the absolute value of the difference in x-coordinates of A and B.

= |-3-4| = 7 units

Coordinates of vertex B are (4, 4).

Coordinates of vertex C are (4, -5).

Distance between B and C is the absolute value of the difference in y-coordinates of B and C.

= |4-(-5)| = 9 units





Perimeter = 2(length+width) = 2(9+7) = 2(16) = 32

Hence, the perimeter = 32 units


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