in the center of the first sheep of graph paper, draw a figure with straight sides that will fit in a 15 by 20 block (the figure can be hard or easy so I was thinking of going with a simple rectangle). On the second sheet of graph paper draw the same figure with so that is similar to the first rectangle with a 2:1 ratio of the first.

On the 3rd sheet of graph paper draw the same figure again. it should be similar to the first figure but with 3/5 ratio of the first. what sizes should the rectangles be?

L1 = 8

W1 = 4

L2 = 2 * 8 = 16
W2 = 2 * 4 = 8

L3 = (3/5) * 8 = 4.8.
W3 = (3/5) * 4 = 2.4.

To find the sizes of the rectangles on each sheet of graph paper, we need to consider the given ratios and the dimensions of the first rectangle.

First Sheet:
- The ratio mentioned is 2:1, which means the dimensions of the second rectangle will be twice the dimensions of the first rectangle.
- The first rectangle is given as 15 by 20 blocks.
- So, the dimensions of the second rectangle will be: 15 x 2 = 30 blocks (length) by 20 x 2 = 40 blocks (width).

Second Sheet:
- The ratio given is 3/5, which means the dimensions of the third rectangle will be 3/5 times the dimensions of the first rectangle.
- The first rectangle is given as 15 by 20 blocks.
- So, the dimensions of the third rectangle will be: (3/5) x 15 = 9 blocks (length) by (3/5) x 20 = 12 blocks (width).

Therefore, the rectangles on each sheet of graph paper should have the following sizes:
- Sheet 1: 15 by 20 blocks
- Sheet 2: 30 by 40 blocks
- Sheet 3: 9 by 12 blocks