To determine if the blocks have proportional length-to-width ratios, we first need to calculate the length-to-width ratio for each block.
For Block A:
- Length = 23
- Width = 115
- Ratio A = Length/Width = 23/115 = 0.2
For Block B:
- Length = 46
- Width = 230
- Ratio B = Length/Width = 46/230 = 0.2
For Block C:
- Length = 460
- Width = 52
- Ratio C = Length/Width = 460/52 ≈ 8.846
Now we compare the ratios:
- Ratio A (Block A) = 0.2
- Ratio B (Block B) = 0.2
- Ratio C (Block C) ≈ 8.846
Blocks A and B have the same ratio of 0.2, while Block C has a different ratio.
Therefore, the blocks with proportional length-to-width ratios are Block A and Block B.