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 hel…

Question

asked Sep 8, 2022 199k views

1 Answer

Matt Mason · Answer 1 · 2022-09-14T04:10:59+0000

Answer: True

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* W

The area of the dilated rectangle is
A_2=yL* yW=y^2LW

we can see that

$\Rightarrow A_2=y^2A_1$