Question

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

Answer 1

Answer: x = 52 m

Step-by-step explanation:

     The formula we will use, which solves for the area of a trapezoid, is $a=\frac{a+b}{2} h$ where a is a base, b is a base, and h is the height.

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

         $\displaystyle a=\frac{a+b}{2} h$

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

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

         $\displaystyle 1,188\;\text{m}^2=486\;\text{m}+\frac{27x}{2}$

         $\displaystyle 702\;\text{m}^2=\frac{27x}{2}$

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

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