Answer:
5 units
Step-by-step explanation:
Image of the trapezoid is attached.
To find the height of the trapezoid (image attached), let's take the formula for area of a trapezoid.
The formula for area of a trapezoid is:
[tex] A = (\frac{a + b}{2}) h [/tex]
Here, a and b represents the bases of the trapezoid.
a = 6
b = 10
h which represents height is unknown.
A = 40
Substitute figures:
[tex] 40 = (\frac{6 + 10}{2}) h [/tex]
[tex] 40 = (\frac{16}{2}) h [/tex]
[tex] 40 = 8 * h [/tex]
Solve for h:
[tex] h = \frac{40}{8} [/tex]
[tex] h = 5 [/tex]
The height of the trapezoid is 5 units
