Question

If the area of the given trapezoid is 1,188m^2, find the value of x.

Answer 1

Answer: x = 52 m

Explanation:

The formula we will use, which solves for the area of a trapezoid, is
`a=(a+b)/(2) h` where a is a base, b is a base, and h is the height.

We will input the known values, then solve for x.

`\displaystyle a=(a+b)/(2) h`

`\displaystyle 1,188\;\text{m}^2=\frac{36\;\text{m}\;+x}{2}*27\;\text{m}`

`\displaystyle 1,188\;\text{m}^2=(18\;\text{m}+(x)/(2))*27\;\text{m}`

`\displaystyle 1,188\;\text{m}^2=486\;\text{m}+(27x)/(2)`

`\displaystyle 702\;\text{m}^2=(27x)/(2)`

`\displaystyle 1,404\;\text{m}^2=27x`

`\displaystyle x=52\;\text{m}`