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

1 answer

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.