Answer:
49
Step-by-step explanation:
Every time you multiply both sides of a rectangle by a number x, its area if multiplied by [tex]x^{2}[/tex].
In our example:
Area of a rectangle = width . length
width = 4
length = 7
[tex]A_{1}[/tex] = 4 . 7 = 28
When you multiply both sides by 7:
width = 4 . 7 = 28
length = 7 . 7 = 49
[tex]A_{2}[/tex] = 28 . 49
[tex]A_{2}[/tex] = 1372
[tex]A_{2}[/tex] / [tex]A_{1}[/tex] = 1372 / 28 = 49 = [tex](7)^{2}[/tex]
Both sides multiplied by 7 => Area multiplied by [tex]7^{2}[/tex]
Got it?
;-)
