Answer: 7 yards
Step-by-step explanation:
Given
The area of the trapezoid is [tex]46\ yards^2[/tex]
The height of the trapezoid is [tex]h=4\ yards[/tex]
One of the bases is [tex]a=16\ yards[/tex]
Suppose another base is b
The area of the trapezoid is
[tex]A=\dfrac{a+b}{2}\times h[/tex]
Putting values
[tex]\Rightarrow 46=\dfrac{16+b}{2}\times 4\\\\\Rightarrow 23=16+b\\\Rightarrow b=7\ yards[/tex]
The length of other base is 7 yards
