Question

4 find the length of the midsegment of this trapezoid (show all work on paper): trapezoid image with top base 14, bottom base 22, midsegment x x = blank box

Explanation:

Step1: Recall the midsegment formula

The formula for the midsegment \(x\) of a trapezoid is \(x=\frac{a + b}{2}\), where \(a\) and \(b\) are the lengths of the two parallel sides.

Step2: Substitute the values

Here, \(a = 14\) and \(b=22\). Substitute into the formula: \(x=\frac{14 + 22}{2}\).

Step3: Calculate the sum

First, calculate \(14+22 = 36\). So the formula becomes \(x=\frac{36}{2}\).

Step4: Divide

\(x = 18\).

Answer:

\(18\)