Quinn is determining the area of a trapezoid. His work is shown below.
Mathematics · High School · Thu Feb 04 2021
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To determine the area of a trapezoid, the formula is:
Area = ((Base1 + Base2) / 2) * Height
Here's how to use the formula step by step:
- Identify the two bases (Base1 and Base2). These are the two parallel sides of the trapezoid. - Add the lengths of the two bases together. - Divide that sum by 2. This gives you the average length of the two bases. - Identify the height (the perpendicular distance between the two bases). - Multiply the average length of the bases by the height. - The result is the area of the trapezoid.
Let's say Quinn's trapezoid has bases that are 8 units and 5 units long, and the height is 4 units. Here's how he would calculate the area:
Area = ((8 + 5) / 2) * 4 Area = (13 / 2) * 4 Area = 6.5 * 4 Area = 26 square units
Quinn would find that the area of this trapezoid is 26 square units.