Question

If the area of a trapezoid below is 234 square units what is the value of x?

Answer 1

The formula for the area of a trapezoid is Area = (top +  bottom)/2 x height

Using the given information we can solve for x:

234 = (20+32)/2 * X

234 = 52/2 * X

234 = 26 * X

X = 234/ 26

X = 9 units.

The answer is B.

Answer 2

Answer:

Option: B is the correct answer.

               B.   9 units

Step-by-step explanation:

We know that the area of trapezoid is given by:

$Area\ of\ trapezoid=\dfrac{1}{2}\times (sum\ of\ bases)\times height$

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:

$Area=\dfrac{1}{2}\times (a+b)\times h$

Based on the figure we have:

a=32 and b=20 and h=x

The area of trapezoid is : 234 square units.

i.e.

$\dfrac{1}{2}\times (20+32)\times x=234\\\\i.e.\\\\\dfrac{1}{2}\times (52)\times x=234\\\\i.e.\\\\26x=234\\\\i.e.\\\\x=\dfrac{234}{26}\\\\i.e.\\\\x=9\ units$

              Hence, the value of x is: 9 units