how can you model the effect of dilation by a scale factor of 3 on the area od a two-dimensional shape

Answer 1

To model the effect of dilation by a scale factor of 3 on the area of a two-dimensional shape, you need to square the scale factor. Here's the process:

1. Calculate the original area of the shape.
2. Multiply the original area by the square of the scale factor.

For example, let's say you have a square with side length 4 units and you want to dilate it by a scale factor of 3.

1. Calculate the original area of the square:
Area = side length^2 = 4^2 = 16 square units

2. Multiply the original area by the square of the scale factor:
Dilated area = (original area) * (scale factor^2) = 16 * (3^2) = 16 * 9 = 144 square units

So, the dilated square will have an area of 144 square units.

Answer 2

A.the area will be 9 times as great
B.the area will be 1 1/2
C.the area will be 3 times as great
D.the area will be 6 times as great

Answer 3

C. The area will be 3 times as great.

Answer 4

if a two-dimension shape is dilated by a factor if 1/3 what is the effect on the area
A.it is 1/9 as great
B.it is 1/3 as great
C.it is 1/6 AS GREAT
d.IT IS 2/3 AS GREAT

Answer 5

A. It is 1/9 as great.