Question

question 4 of 25 given the diagram below, what is the length of segment ef? b 3.4 c e f a 7.6 d a. 5.5 b. 5.2 c. 4.2 d. 4.4

Explanation:

Step1: Recall mid - segment formula

If \(EF\) is the mid - segment of trapezoid \(ABCD\) (assuming \(EF\) is parallel to \(AB\) and \(CD\)), the length of the mid - segment of a trapezoid is given by the formula \(EF=\frac{BC + AD}{2}\).

Step2: Substitute the given values

We are given \(BC = 3.4\) and \(AD=7.6\). Substitute these values into the formula: \(EF=\frac{3.4 + 7.6}{2}\).
First, calculate the sum in the numerator: \(3.4+7.6 = 11\). Then, divide by 2: \(\frac{11}{2}=5.5\).

Answer:

A. 5.5