Area of a Trapezoid
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Questions and Answers

Match the following geometric terms with their definitions:

Height = Perpendicular distance between the bases of a trapezoid Bases = Parallel sides of a trapezoid Segment = Part of a line between two endpoints Area = Measure of the space inside a shape

Match the following variables with their meanings in the trapezoid ABCD:

x = Length of the segment AD ℎ = Height of the trapezoid a = Length of the base AB b = Length of the base CD

Match the following mathematical operations with their applications in the trapezoid area equation:

Multiplication = Used to calculate the product of base lengths and height Addition = Used to sum the bases and then divide by 2 Subtraction = Used to find the difference between the bases Exponentiation = Not directly used in the trapezoid area equation

What is the correct equation for the area (A) of the trapezoid ABCD in terms of x, ℎ, a, and b?

<p>A = ℎ * (a + b) / 2</p> Signup and view all the answers

If the length of the segment AD (x) is 10, the height (ℎ) is 5, and the lengths of the bases (a and b) are 8 and 6 respectively, what is the area (A) of the trapezoid?

<p>40 square units</p> Signup and view all the answers

If the length of the segment AD (x) is half the difference between the lengths of the bases (a and b), what is the area (A) of the trapezoid?

<p>A = ℎ * (a - b)</p> Signup and view all the answers

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