Question

In the given figure $\overline{AB}\parallel \overline{DE}$ and area of the parallelogram ABFD is $24c{m}^2$. Find the area of $\Delta AFB$.

Answer 1

Given $\overline{AB}\parallel \overline{DE}$ and the area of parallelogram ABFD is $24c{m}^2$
$\Delta AFB,\Delta AGB,\Delta AEB$ and parallelogram ABFD are on the same base and between the same parallels
$\therefore$ Area of $\Delta AFB$ = Area of $\Delta AGB$
= Area of $\Delta AEB$
$=1/2\times$ Area of parallelogram ABFD
$=1/2\times 24=12c{m}^2.$