Basic Level

Areas

**How can we calculate the area of a trapezium using a parallelogram?**

The application allows reaching the formula of the area of a trapezium using the construction of a parallelogram with half the height of the trapezium.

**What is the relationship between the area of the trapezium [ABCD] and the area of the next parallelogram?**

The area of the trapezium is equal to the area of the parallelogram.

**What formula do we get for the calculation of the trapezium area?**

The height of the parallelogram is half the height \(h\) of the trapezoid. Thus the area of the parallelogram is equal to \((b_1 + b_2) \times {h \over 2}\).

Then the area of the trapezium is given by $$(b_1 + b_2) \times {h \over 2},$$that is, it is equal to the product of the sum of the lengths of the bases by half the height.