Respuesta :

Answer:

The missing length is 8

Step-by-step explanation:

Represent the missing length with x

The non-parallel sides of the given shape are directly proportional.

Mathematically:

3 to 6 and 4 to x

Represent as a ratio:

[tex]3 : 6 = 4 : x[/tex]

Convert to fraction

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

Cross Multiply:

[tex]3 * x = 6 * 4[/tex]

[tex]3x = 24[/tex]

Divide through by 3

[tex]x = \frac{24}{3}[/tex]

[tex]x = 8[/tex]

The length of the missing side is 8