A trapezoid will become a triangle if its upper bottom is reduced by 4cm, and its area will be reduced by 8cm square compared with the original trapezoid. If its upper bottom is increased by 4cm, it will become a parallelogram. What is the area of the original trapezoid?

A trapezoid will become a triangle if its upper bottom is reduced by 4cm, and its area will be reduced by 8cm square compared with the original trapezoid. If its upper bottom is increased by 4cm, it will become a parallelogram. What is the area of the original trapezoid?


A: the area of the original trapezoid is 24 square centimeters



A trapezoid will become a triangle if its upper bottom is reduced by 4cm, and its area will be reduced by 8cm square compared with the original trapezoid. If its upper bottom is increased by 4cm, it will become a parallelogram. What is the area of the original trapezoid?


A: the area of the original trapezoid is 24 square centimeters



If the upper bottom of a trapezoid is reduced by 2.5 meters, it becomes a triangle, and the area is reduced by 8.5 square centimeters compared with the original trapezoid; if the lower bottom is reduced by 4 cm, it becomes a parallelogram, and the area of the original trapezoid is calculated


The trapezoidal upper bottom is 2.5
5 + 4 = 6
Trapezoid height = 8.5 × 2 △ 2.5 = 6.8
So area = (2.5 + 6.5) × 6.8 △ 2 = 30.6 square centimeter