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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
Given, length of a rectangle = 5 units and breadth of a rectangle = 3 units
One vertex is at origin i.e., (0, 0) and one of the other vertices lies in III quadrant.
So, the length of the rectangle is 5 units in the negative direction of x-axis and then vertex is A(– 5, 0).
Also, the breadth of the rectangle is 3 units in the negative, direction of y-axis and then vertex is C(0, – 3).
The fourth vertex B is (– 5, – 3).

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