Question

Kumar has a rectangle sketch, which he needs to draw on a coloured paper of length and breadth 32 units and 16 units respectively, using a plotter. Plotter is a device which is attached to a computer like a printer. It is used for drawing complicated sketches. Plotter accepts only positive coordinates where the point (0,0) is the left-bottom corner of the paper. The sketch ABCD needs to be centrally aligned on the paper. What are the coordinates of A and B respectively?

Answer 1

Explanation:

To align the sketch ABCD centrally on the colored paper, we need to determine the coordinates of points A and B.

First, let's find the center coordinates of the paper. The length of the paper is 32 units, and the breadth is 16 units. To find the center coordinates, we divide the length and breadth by 2:

Center coordinate (X, Y) = (32/2, 16/2) = (16, 8)

Since the sketch needs to be centrally aligned, point A will have the same X coordinate as the center, but its Y coordinate will be shifted upwards by half of the breadth. Similarly, point B will have the same X coordinate as the center, but its Y coordinate will be shifted downwards by half of the breadth.

Coordinates of point A: (X, Y) = (16, 8 + 16/2) = (16, 16)

Coordinates of point B: (X, Y) = (16, 8 - 16/2) = (16, 0)

Therefore, the coordinates of point A are (16, 16) and the coordinates of point B are (16, 0).