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Question

Write the coordinates of the vertices of a rectangle whose length and breadth are 5 and 3 units respectively, one vertex at the origin, the longer side lies on the x-axis and one of the vertices lies in the third quadrant.


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Solution

Find the coordinates of the vertices of a rectangle.

A rectangle is a parallelogram in which each of the angles is a right angle.

Consider the graph plotted as follows:

The horizontal and vertical distances from the two reference axes are used to define the position of a point on a coordinate plane using coordinates.

The coordinates of the points of the rectangle ABCO are O0,0,A-5,0,B-5,-3,C0,-3.

Hence, the coordinates of the points of the rectangle are 0,0,-5,0,-5,-3,0,-3.


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