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Question
A rectangle whose length and breadth are 4 and 3 units respectively, has a vertex at the origin. The longer side lies on the x-axis and one of the vertices lies in the first quadrant. The coordinates of the vertices of are?
A rectangle whose length and breadth are 4 and 3 units respectively, has a vertex at the origin. The longer side lies on the x-axis and one of the vertices lies in the first quadrant. The coordinates of the vertices of are?
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Solution
The correct option is A (0, 0), (4, 0), (0,3) & (4,3)
The coordinate of point O(origin) is (0, 0),
Given that the longer side lies on the x-axis, therefore, moving 5 units right of the origin,through x-axis, will reach point A.
So, the coordinate of point A is (4, 0).
Given the breadth of the rectangle is 3 units, so moving towards the y axis by 3units, will reach point C.
So, the co-ordinates of C is (0,3).
By extending a line from C which is perpendicular to y-axis and by extending a line from A which is perpendicular to x-axis.
Both will meet at point, which is 4th vertices of the rectangle.
Thus, the co-ordinates of B is (4,3).
The coordinate of point O(origin) is (0, 0),Given that the longer side lies on the x-axis, therefore, moving 5 units right of the origin,through x-axis, will reach point A.
So, the coordinate of point A is (4, 0).
Given the breadth of the rectangle is 3 units, so moving towards the y axis by 3units, will reach point C.
So, the co-ordinates of C is (0,3).
By extending a line from C which is perpendicular to y-axis and by extending a line from A which is perpendicular to x-axis.
Both will meet at point, which is 4th vertices of the rectangle.
Thus, the co-ordinates of B is (4,3).
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