Question

Draw the graph of the lines x = $-$2 and y = 3 . Write the vertices of the figure formed by these lines , the x-axis and the y-axis . Also , find the area of the figure.

Answer 1

The given lines are
$$\begin{gathered} x=-2.....\left(\mathrm{i}\right) \\ y=3.....\left(\mathrm{ii}\right) \end{gathered}$$
The graph thus obtained will be as follows:

The figure thus obtained is a rectangle ABCD. The vertices of the rectangle are A(−2, 3), B(0, 3), C(0, 0) and D(−2, 0).
Length of the rectangle = AD = BC = 3 units
Breadth of the rectangle = CD = AB = 2 units
∴ Area of rectangle ABCD
$$\begin{gathered} =3\times 2 \\ =6\mathrm{square}\mathrm{units} \end{gathered}$$