Answer:
4 units
Step-by-step explanation:
The area (A) of a trapezoid is calculated using the formula
A = [tex]\frac{1}{2}[/tex] h(a + b)
where h is the height and a, b the bases
here A = 46, a = 6 and b = 17, hence
46 = [tex]\frac{1}{2}[/tex] h(6 + 17) ( multiply both sides by 2 )
92 = h(23) ← divide both sides by 23 )
h = [tex]\frac{92}{23}[/tex] = 4 units
