Question

A trapezoid has a base length of 22 cm and a mid-segment length of 23 cm. What is the length of the other

base?
24 cm
26 cm
22 cm
28 cm

Answer 1

24 cm

Explanation:

Let the length of other base be x cm

Therefore, by mid segment formula of a trapezoid, we have:

`23 = (1)/(2) (x + 22) \\ \\ 23 * 2 = x + 22 \\ 46 = x + 22 \\ 46 - 22 = x \\ x = 24 \: cm`