Question

Find the area formed by the line x + 3y = 12 with the coordinate axes.

Answer 1

We can draw the graph of the given line by using the table below .

x	0	3
y	4	3

Area of triangle AOB = $\frac{1}{2}\times \mathrm{Base}\times \mathrm{Height}=\frac{1}{2}\times 12\times 4=24\mathrm{square}\mathrm{units}$