Respuesta :

Answer:

BC = 21 cm

Step-by-step explanation:

The formula for the area of a trapezoid is

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

So, if we know, a, h, and A, we can them solve for b

[tex]b=\frac{2A}{h} -a[/tex]

So plugging this into the formula, we get

[tex]b=\frac{2(503.25)}{18.3} - 34\\\\b=\frac{1006.5}{18.3} - 34\\\\b=55 - 34\\\\b=21[/tex]