Question

Which square—large, medium, or small—covers more of the plane? In 2-3 sentences, explain your reasoning for choosing the large, medium or small square.

Answer 1

The large square covers more

Explanation:

Given

See attachment for squares

Required

Which covers more plane

The large square has the highest dimension and by extension, it has the highest area.

This means that, less large squares will be needed to cover more areas compared to other sizes of the squares.

Take for instance, the following analysis;

Large square

Dimension: 3 by 3;

`Area=3*3 = 9`

Medium Square

Dimension: 2 by 2

`Area = 2 * 2 = 4`

Small square

Dimension: 1 by 1

`Area = 1 * 1 = 1`

The square with the largest area covers more of the plane.

Hence, the large square covers more of the plane