The midsegment of a trapezoid is 11 cm in length. If one of the trapezoid's bases is 17 cm long, what is the length of the other base?

Answer:x must be 5Step-by-step explanation:Recall that the area formula for a trapezoid isA = (average of base lengths)(width)Here we have                                                                    17 cm + x       (average of base lengths) = 11 cm = ----------------                                                                            2So 2(11 cm) = 17 cm + x, or       22 cm = 17 cm + xThen x must be 5.