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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?

(1 point)
Responses

Block A and Block C
Block A and Block C

None of the blocks have proportional dimensions.
None of the blocks have proportional dimensions.

Block A and Block B
Block A and Block B

Block B and Block C
Block B and Block C
Remaining Attempts : 3
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1 answer

To determine which blocks have proportional length-to-width ratios, we need to calculate the ratio of length to width for each block:

  • Block A: Length = 23, Width = 115
    Ratio = Length / Width = 23 / 115 = 1 / 5

  • Block B: Length = 46, Width = 230
    Ratio = Length / Width = 46 / 230 = 1 / 5

  • Block C: Length = 460, Width = 52
    Ratio = Length / Width = 460 / 52 = 115 / 13 (approximately 8.85)

Now we compare the ratios:

  • Block A has a ratio of 1/5.
  • Block B has a ratio of 1/5.
  • Block C has a different ratio (not 1/5).

So, Block A and Block B have the same ratio of length to width, while Block C does not.

Thus, the answer is Block A and Block B.