Answer:
The area of square will increase with a scale factor of 25
Step-by-step explanation:
Scale factors are used in geometrical drawings and problems to solve the problems involving large quantities.
We know that
[tex]A = s^2[/tex]
Here A is area of square and s is side.
It is given that the side length is increases by a scale factor of 5
Which means the new side is 5s
So the new area will be:
[tex]A' = (5s)^2\\A' = 25s^2\\A' = 25A[/tex]
The new area is 25 times of the original area before applying scale factor.
Hence,
The area of square will increase with a scale factor of 25
