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

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`