Answer :

Final answer:

The midsegment of trapezoid LMPQ, with parallel sides measuring 40m and 60m, can be computed by averaging the lengths of the parallel sides, resulting in a midsegment of 50m.

Explanation:

The midsegment of a trapezoid is the line segment that connects the midpoints of its non-parallel sides. In trapezoid LMPQ, the given measurements are for the parallel sides, LM = 40m, and QP = 60m. The midsegment of a trapezoid is calculated using the formula: midsegment = (base1 + base2) / 2. Therefore, to find the midsegment length for trapezoid LMPQ, plug in the given values into the formula: midsegment = (40m + 60m) / 2 which will give you a midsegment of 50m.

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