Area of a Trapezoid
To find the area of a trapezoid, you need to know its height and the lengths of its two bases
To find the area of a trapezoid, you need to know its height and the lengths of its two bases. Let’s denote the larger base as ‘a’, the smaller base as ‘b’, and the height as ‘h’.
The formula for the area of a trapezoid is:
Area = (a + b) * h / 2
Here’s a step-by-step explanation of how to find the area of a trapezoid:
1. Identify the lengths of the two bases of the trapezoid. Let’s say the larger base ‘a’ is 8 units long, and the smaller base ‘b’ is 4 units long.
2. Measure the height of the trapezoid. The height can be measured as the perpendicular distance between the two bases. Let’s assume the height ‘h’ is 6 units.
3. Plug the values of ‘a’, ‘b’, and ‘h’ into the formula:
Area = (8 + 4) * 6 / 2
4. Simplify the expression within the parentheses:
Area = 12 * 6 / 2
Area = 72 / 2
Area = 36 square units
Thus, the area of the trapezoid with a larger base of 8 units, a smaller base of 4 units, and a height of 6 units is 36 square units.
More Answers:
Understanding Corresponding Sides in Congruent Triangles: A Key to Problem SolvingUnderstanding Corresponding Angles of Congruent Triangles: A Key Concept in Geometry
Different Formulas to Calculate the Area of a Triangle: Base and Height, Sides Lengths, and Coordinates of Vertices