Respuesta :

Answer:

height = 7 cm

Step-by-step explanation:

The area (A) of a trapezium is calculated using the formula

A = [tex]\frac{1}{2}[/tex] h(a + b)

where h is the height and a, b the parallel bases

here a = 6, b = 12 and A = 63, hence

[tex]\frac{1}{2}[/tex] × h × (6 + 12) = 63

[tex]\frac{1}{2}[/tex] h × 18 = 63

9h = 63 ( divide both sides by 9 )

h = 7