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?

(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
Skip to navigation

Answer 1

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**.