Respuesta :

Answer:

height = 18 cm

Step-by-step explanation:

Let the height be 'x'

3 :  4 :: x : 24

Product of means =  product of extremes

4 *x = 24 * 3

     [tex]x = \frac{3 * 24}{4}\\\\x = 3 * 6\\\\x = 18[/tex]

Answer:

216cm^2

Step-by-step explanation:

If the ratio of height to base is 3:4 then

height = (3/4)*base

height = (3/4)*24cm = 18cm

Area = base*height/2 = 24cm * 18cm / 2 = 24cm * 9cm = 216cm^2