Question

A rectangle with an area of 4/7 m? is dilated by a factor of seven. What is the area of the dilated rectangle?

Answer 1

For this case we have that the area of the new figure is given by:

`A '= k ^ 2A`

Where,

1. k: scale factor
2. A: area of the original figure

Therefore, replacing values we have:

`A '= (7) ^ 2 (\frac {4} {7})\\A '= 7 * 4\\A '= 28`

Answer:

The area of the dilated rectangle is:

`A '= 28`