Question

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

Answer 1

Option: B is the correct answer.

B. 9 units

Explanation:

We know that the area of trapezoid is given by:

`Area\ of\ trapezoid=(1)/(2)* (sum\ of\ bases)* 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=(1)/(2)* (a+b)* 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.

`(1)/(2)* (20+32)* x=234\\\\i.e.\\\\(1)/(2)* (52)* x=234\\\\i.e.\\\\26x=234\\\\i.e.\\\\x=(234)/(26)\\\\i.e.\\\\x=9\ units`

Hence, the value of x is: 9 units

Answer 2

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.