Question

Use the table to answer the question. Block Length Width A 23 115 B 46 230 C 460 52 Which blocks have proportional length-to-width ratios? Responses Block B and Block C Block B and Block C - no response given None of the blocks have proportional dimensions. None of the blocks have proportional dimensions. - no response given Block A and Block B Block A and Block B - no response given Block A and Block C

Answer 1

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**.