Answer:
Option: B is the correct answer.
B. 9 units
Step-by-step explanation:
We know that the area of trapezoid is given by:
[tex]Area\ of\ trapezoid=\dfrac{1}{2}\times (sum\ of\ bases)\times height[/tex]
i.e. if a and b are two bases of the trapezoid and h is the height of the trapezoid then the area of trapezoid is:
[tex]Area=\dfrac{1}{2}\times (a+b)\times h[/tex]
Based on the figure we have:
a=32 and b=20 and h=x
The area of trapezoid is : 234 square units.
i.e.
[tex]\dfrac{1}{2}\times (20+32)\times x=234\\\\i.e.\\\\\dfrac{1}{2}\times (52)\times x=234\\\\i.e.\\\\26x=234\\\\i.e.\\\\x=\dfrac{234}{26}\\\\i.e.\\\\x=9\ units[/tex]
Hence, the value of x is: 9 units
