Question

A rectangle is dilated by a scale factor of y to create a new rectangle. The area of the new rectangle is y2 times the area of the original rectangle.
True or false ?
Please help

Answer 1

Answer: True

Step-by-step explanation:

Suppose the length and width of the original rectangle is L and W

After dilation by a factor of y, it becomes yL and yW

Area of the original rectangle $A_1=L\times W$

The area of the dilated rectangle is $A_2=yL\times yW=y^2LW$

we can see that

$\Rightarrow A_2=y^2A_1$