The bottom of a trapezoid is 20 cm. If the upper bottom is extended by 8 cm, it becomes a parallelogram, and the area increases by 24 square cm. The original trapezoid area is ()

The bottom of a trapezoid is 20 cm. If the upper bottom is extended by 8 cm, it becomes a parallelogram, and the area increases by 24 square cm. The original trapezoid area is ()


Upper sole 20-8 = 12 cm
The height is 24 × 2 △ 8 = 6 cm
Area (12 + 20) × 6 △ 2 = 96 square centimeter



If the height of a parallelogram is 7 cm, the height of a triangle is () cm


If the height of a parallelogram is 7 cm, the height of a triangle is (14) cm



Cut and fill a triangle with an area of 18 cm into a parallelogram. The bottom of the parallelogram is 9 cm. What is the height of the original triangle


4 (height) × 9 (bottom) △ 2 = 18 square centimeter
Divide the triangle evenly into two triangles, but the bottom is still 9cm
The two triangles can be divided into a parallelogram with a base of 9cm
From this point of view, the original height of the triangle is 4cm



What is the area ratio of the parallelogram to the triangle in the figure below? The parallelogram is 10 cm high, 12 cm long and 18 cm at the bottom of the triangle


Area of parallelogram = 10 * 12 = 120
Area of triangle = 1 / 2 * 10 * 18 = 90
Ratio = 120:90 = 12:9 = 4:3