Can a trapezoid be divided into rectangle and triangle and have the same formula?

Yes, a trapezoid can be divided into a rectangle and a triangle, and they can share the same area formula. The area of a trapezoid is calculated using the formula ( A = \frac{1}{2}(b_1 + b_2)h ), where ( b_1 ) and ( b_2 ) are the lengths of the parallel sides and ( h ) is the height. When a trapezoid is divided, the rectangle's area can be calculated using its base and height, while the triangle's area can be calculated using its base and height, which can be combined to match the trapezoid's area formula.