The area of the triangle formed by the lines $7x - 2y + 10 = 0$,$7x + 2y - 10 = 0$ and $y + 2 = 0$ is ............ $sq. \, units$.

The area of the triangle bounded by the straight line $ax + by + c = 0$ $(a, b, c \neq 0)$ and the coordinate axes is

The area of the parallelogram formed by the lines $x \cos \alpha + y \sin \alpha = p$,$x \cos \alpha + y \sin \alpha = q$,$x \cos \beta + y \sin \beta = r$,and $x \cos \beta + y \sin \beta = s$ is:

In a $\triangle ABC$,$D$ and $E$ are points on $AB$ and $AC$ respectively such that $DE \parallel BC$. Suppose $BE$ and $CD$ intersect at $O$. If the areas of $\triangle ADE$ and $\triangle ODE$ are $3$ and $1$ respectively,find the area of $\triangle ABC$.

The points $(0, 8/3)$,$(1, 3)$ and $(82, 30)$ are the vertices of

The triangle formed by the lines $x + y - 4 = 0,$ $3x + y = 4,$ and $x + 3y = 4$ is