Answer:
Area of ΔDEF = 12 in²
Step-by-step explanation:
Since they are similar, we have to find the scale factor
Scale Factor = [tex]\frac{Side OfDilated Triangle}{Side of Original Triangle}[/tex]
Scale Factor = 4/2
Scale Factor = 2
This means The area of ΔABC is 2 times the area of ΔDEF
So,
ΔABC = 2(ΔDEF)
Where Area of ΔABC = 24 in²
24 = 2(ΔDEF)
Dividing both sides by 2
=> Area of ΔDEF = 12 in²
