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

Answer:

49

Step-by-step 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?

;-)