Answer:
h = 10m
Step-by-step explanation:
The formula of an area of a trapezoid:
[tex]A=\dfrac{b_1+b_2}{2}\cdot h[/tex]
b₁, b₂ - bases
h - height
We have A = 150 m², b₁ = 14m, b₂ = 16m. Substitute:
[tex]\dfrac{14+16}{2}\cdot h=150\\\\\dfrac{30}{2}h=150[/tex]
[tex]15h=150[/tex] divide both sides by 15
[tex]h=10\ m[/tex]
