Equation : $$3x + 4y = 12$$ Let the line cut x-axis at point B, => y-coordinate = 0 => $$3x + 4(0) = 12$$ => $$x = frac{12}{3} = 4$$ => $$B = (4,0)$$ Similarly, $$A = (0,3)$$ Thus, length of OA = 3 units and OB = 4 units $$ herefore$$ Area of $$ riangle$$ OAB = $$frac{1}{2} imes OA imes OB$$ = $$frac{1}{2} imes 4 imes 3$$ = $$2 imes 3 = 6$$ sq. units