Answer:
[tex]h = 8 \: ft[/tex]
Step-by-step explanation:
Height of trapezoid formula:
[tex]h = 2 \times \frac{area}{a + b} [/tex]
Given:
Area: 40 square feet
a: 6 feet
b:4 feet
Using the given information,
[tex]h = 2 \times \frac{40}{6 + 4} [/tex]
Add the numbers in the denominator
[tex]h = 2 \times \frac{40}{10} [/tex]
Reduce the fraction with 10
[tex]h = 2 \times 4[/tex]
Answer:
[tex]h = 8 \: feet[/tex]