Mathematics

Write the co-ordinates of the vertices of a rectangle which is 6 units long and 4 units wide if the rectangle is in the first quadrant, its longer side lies on the x-axis and one vertex is at the origin.

Coordinate Geometry

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Answer

The points are shown on the graph below:

Write the co-ordinates of the vertices of a rectangle which is 6 units long and 4 units wide if the rectangle is in the first quadrant, its longer side lies on the x-axis and one vertex is at the origin. Coordinate Geometry, ML Aggarwal Understanding Mathematics Solutions ICSE Class 9.

Given,

The rectangle which is 6 units long and 4 units wide is shown in the graph.

Rectangle is in the first quadrant.

Longer side lies on x-axis and one vertex is at origin A(0, 0).

Steps of construction :

  1. Mark point A(0, 0).

  2. At a distance of 6 units on x-axis mark point B(6, 0).

  3. From B draw a line segment parallel to y-axis and mark point C on it at distance of 4 units.

  4. From C draw a line segment parallel to x-axis and mark point D on it at distance of 6 units.

  5. Join DA.

Hence, coordinates of the rectangle are A(0, 0), B(6, 0), C(6, 4) and D(0, 4).

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