The value of x is given by 9 units.
What is Trapezoid?
Trapezoid is a special kind of Quadrilateral whose one pair of opposite sides are parallel.
The area of Trapezoid is given by half of the product of the sum of the lengths of parallel opoosite side pair and length of perpendicular distance between the parallel sides.
Area of Trapezoid [tex]=\frac{1}{2}\times\text{(Sum of Lengths of Parallel sides)}\times\text{Distance between them}[/tex]
Here in the given figure we can see that,
The lengths of the parallel sides are 20, 34 units.
and the perpendicular distance between them is x units.
Thus the area of the trapezoid is given by [tex]=\frac{1}{2}\times(20+32)\times x=\frac{1}{2}\times52\times x=26x[/tex] square units.
Also it is given that the area of trapezoid is 234 square units.
By the condition,
[tex]26x=234\\\Rightarrow x=\frac{234}{26}=9[/tex]
Hence the value of x in the figure is 9 units.
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