Answer:
h = 3 cm
Step-by-step explanation:
The area (A) of a trapezium is calculated as
A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )
h is the perpendicular height between the bases b₁ and b₂
given A = 15 , b₁ = 4 and b₂ = 6
substitute these values into the formula for A
15 = [tex]\frac{1}{2}[/tex] × h × (4 + 6) ← multiply both sides by 2 to clear the fraction
30 = h × 10 = 10h ( divide both sides by 10 )
3 = h
The height of the trapezium is 3 cm
