Mathematics ACT Aspire Test 2025 – 400 Free Practice Questions to Pass the Exam

Question: 1 / 400

What formula is used to calculate the area of a trapezoid?

Area = base1 * base2

Area = height * (base1 + base2)

Area = height * (base1 + base2) / 2

The formula for calculating the area of a trapezoid involves taking the average of the two bases and multiplying it by the height of the trapezoid. Specifically, this is represented as:

Area = (base1 + base2) / 2 * height.

This formula works because a trapezoid can be thought of as a shape that has two parallel sides (the bases) and a height that is the perpendicular distance between these bases. By adding the lengths of the two bases together and then dividing by two, you find the average length of the bases. Multiplying this average by the height gives you the total area of the trapezoid.

In the choices provided, the correct formulation reflects this method, ensuring that both the bases’ values and the height are considered. Other options do not accurately represent the calculation process needed to find the area of a trapezoid. For instance, simply multiplying the bases or using the height without the correct averaging will not yield the correct area.

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Area = base * height

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