Question

The coordinates of the vertices of a rectangle are given below.

$A=(2,3),B=(6,3)C=(6,1),D=(2,1)$

Find the length and width of the rectangle formed by joining the points.

• A. Length = 4 units; Width = 2 units
• B. Length = 6 units; Width = 3 units
• C. Length = 2 units; Width = 4 units
• D. Length = 4 units; Width = 4 units

Answer 1

The correct option is A Length = 4 units; Width = 2 units

Let us plot the given points.


Joining the points, we get the rectangle ABCD.


The distance between the points $(2,1)$ and $(6,1)$ or the points $(2,3)$ and $(6,3)$ is the length of the rectangle ABCD.

$\therefore$ Length of rectangle ABCD = 4 units

The distance between the points $(2,1)$ and $(2,3)$ or the points $(6,1)$ and $(6,3)$ is the width of the rectangle ABCD.
$\therefore$ Width of rectangle ABCD = 2 units