Answer:
x = 19
Step-by-step explanation:
The area (A) of a trapezoid is calculated as
A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )
h is the perpendicular height and b₁ , b₂ the parallel bases
Here A = 180.5 , h = x , b₁ = 13 and b₂ = 6 , then
[tex]\frac{1}{2}[/tex] x (13 + 6) = 180.5 ( multiply both sides by 2 to clear the fraction )
x × 19 = 361 ( divide both sides by 19 )
x = 19
