Answer:
x = 9.6
Step-by-step explanation:
The figure is a similar figure and the quadrilaterals (4 sides) created are related to each other by the same ratio.
So we can say:
8 goes with x as (8+12) goes with 24
We can setup a ratio and solve for x:
[tex]\frac{8}{x}=\frac{8+12}{24}\\\frac{8}{x}=\frac{20}{24}\\20x=8*24\\20x=192\\x=\frac{192}{20}\\x=9.6[/tex]
So x = 9.6
