Question

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

Answer 1

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