Question

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Answer 1

Area of ΔDEF = 12 in²

Explanation:

Since they are similar, we have to find the scale factor

Scale Factor =
`(Side OfDilated Triangle)/(Side of Original Triangle)`

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