How many can you count?

The trapezoid has an area of 22 $\color{#3D99F6}\boxed{0.5 * (4+7)(4)=22}$ . The parallelogram has an area of 24 $\color{#3D99F6}\boxed{6*4=24}$ . The triangle has an area of 20 $\color{#3D99F6}\boxed{0.5*10*4=20}$ . The rectangle has an area of 20 $\color{#3D99F6}\boxed{4*5=20}$ . The irregular hexagon has an area of 24 $\color{#3D99F6}\boxed{(5+7)*2=24}$ . The composite figure has an area of 26 $\color{#3D99F6}\boxed{5*4+3*2=26}$ . So there are two figures with equal area (triangle and rectangle).