In a trapezoid, there are two triangles with an area of 6cm2 and 8cm2 respectively (as shown in the figure). If the length of the bottom of the trapezoid is twice that of the top, the area of the shadow part in the figure is______ .

In a trapezoid, there are two triangles with an area of 6cm2 and 8cm2 respectively (as shown in the figure). If the length of the bottom of the trapezoid is twice that of the top, the area of the shadow part in the figure is______ .

Let the upper bottom of the trapezoid be a centimeter, the lower bottom be 2A centimeter, the height of the upper triangle be 6 × 2 △ a = 12a (centimeter), the height of the lower triangle be 8 × 2 △ 2A = 8A (centimeter), the height of the trapezoid be 12a + 8A = 20A (centimeter), the area of the trapezoid be (a + 2a) × 20a △ 2 = 30 (square centimeter), the area of the shadow part be 30-6-8 = 16 (square centimeter), so the answer is: 16