Frank has a rectangular piece of wood 45 cm by 75 cm. what are the largest identical squares. Frank can make by cutting the wood. What assumptions have you made.

45 = 15 x 3

75 = 15 x 5

so we can cut out squares of 15 by 15 and there will be 5 across and 3 down, that is, we can cut out 15 squares of 15 by 15

The silly assumption would be that there would be no loss of wood when cutting,

thx so much this rlly helped

To find the largest identical squares that Frank can make by cutting the wood, we need to determine the dimensions of the squares that can fit within the given rectangular piece of wood.

Assuming that Frank needs to cut only whole squares without any wastage, we can consider the greatest common divisor (GCD) of the dimensions of the rectangular piece of wood (45 cm and 75 cm) to find the largest square size.

The GCD of 45 cm and 75 cm is 15 cm. This means that the largest identical squares that Frank can make by cutting the wood will have sides measuring 15 cm.

Assumptions made:
1. Frank wants to cut the wood into whole squares without any wastage.
2. The dimensions provided for the rectangular piece of wood are accurate.
3. The sides of the squares must be identical in size.