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Answer:
28 centimeters.
Step-by-step explanation:
Let w be width of desk.
We have been given that the bases of the trapezoid are 26.5 and 30 centimeters long. The area of the desk is 791 square centimeters long.
Since the area of trapezoid is half the sum of parallel sides times its height.
, where
h= Height of trapezoid,
a and b= Length of parallel sides of trapezoid.
We have been given that the height of the trapezoid is the width of the desk.
Upon substituting our given vales in above formula we will get,
Therefore, the width of trapezoid is 28 centimeters.