Question

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

Answer 1

49

Explanation:

Every time you multiply both sides of a rectangle by a number x, its area if multiplied by
`x^(2)`.

In our example:

Area of a rectangle = width . length

width = 4

length = 7

`A_(1)` = 4 . 7 = 28

When you multiply both sides by 7:

width = 4 . 7 = 28

length = 7 . 7 = 49

`A_(2)` = 28 . 49

`A_(2)` = 1372

`A_(2)` /
`A_(1)` = 1372 / 28 = 49 =
`(7)^(2)`

Both sides multiplied by 7 => Area multiplied by
`7^(2)`

Got it?

;-)