A square with an area of 4 in² is dilated by a factor of 7. What is the area of the dilated square?

Mathematics

1 answer:

antoniya [11.8K]3 years ago

3 0

Answer:

196 in²

Step-by-step explanation:

Given that the scale factor is a : b , then

the area factor is a² : b²

Here the scale factor is 1 : 7 , thus

area scale factor is 1² : 7² = 1 : 49

That is the area of the dilated square is 49 times the original square.

area of dilated square = 4 × 49 = 196 in²

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