A rectangle, whose length and breadth are $5$ 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. What are the coordinates of the vertices?

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Solution

The coordinates of point A are $(0, 0)$ . The longer side lies on the x-axis. Therefore, moving $5$ units right of the origin, the coordinates of point B are $(5, 0)$ .
The breadth of the rectangle is $3$ units. So moving toward the y-axis from the origin by $3$ units, the coordinates of D will be $(0, 3)$ .
Joining all the points, the coordinates of C are $(5, 3)$ .

Hence, option B is correct.

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A rectangle, whose length and breadth are 5 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. What are the coordinates of the vertices?

A rectangle, whose length and breadth are $5$ 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. What are the coordinates of the vertices?