Question

Use the Diagram.

Answer 1

The area of a square increases by a factor 2n when its perimeter increases by a factor of n

How to determine the perimeter and area of each square?

Start by calculating the side length of each square

From the diagram, we have the following side lengths in ascending order

Square 1 = 2

Square 2 = 4

Square 3 = 8

The perimeter

This is calculated as:

P = 4 * Side length

So, we have:

Perimeter Square 1 = 4 * 2 = 8

Perimeter Square 2 = 4 * 4 = 16

Perimeter Square 3 = 4 * 8 = 32

Hence, the perimeters of the squares are 8, 16 and 32

The area

This is calculated as:

A = Side length^2

So, we have:

Area Square 1 = 2^2 = 4

Area Square 2 = 4^2 = 16

Area Square 3 = 8^2 = 64

Hence, the areas of the squares are 4, 16 and 64

What happens to the area of a square when its perimeter increases by a factor of n?

Using the computations in (a), the area of a square increases by a factor 2n when its perimeter increases by a factor of n

Read more about area and perimeter at:

brainly.com/question/24571594

#SPJ1