Question

If any sized square is increased by a linear scale factor of 5 by what factor is its area increased

Answer 1

The area of square will increase with a scale factor of 25

Explanation:

Scale factors are used in geometrical drawings and problems to solve the problems involving large quantities.

We know that

`A = s^2`

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:

`A' = (5s)^2\\A' = 25s^2\\A' = 25A`

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