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The height of the trapezoid has a length of 4 units
Calculating the sides of a trapezium
From the question, we are to determine the height of the trapezoid
The area of a trapezoid can be calculated by the formula,
[tex]A = \frac{1}{2}(a+b) h[/tex]
Where A is the area
a and b are the bases
and h is the height
The median of a trapezium is given by
[tex]\frac{1}{2} (a+b)[/tex]
From the given information,
A = 96 square units
[tex]\frac{1}{2}(a+b) = 24 \ units[/tex]
Putting the parameters into the formula,
96 = 24 × h
h = 96 ÷ 24
h = 4 units
Hence, the height of the trapezoid has a length of 4 units
Learn more on Calculating the sides of a trapezium here: https://brainly.com/question/369033
