A triangle is made up of 2 red sticks and 1 blue stick. The length of a red stick is given by r and that of a blue stick is given by b. Using this information, write an expression for the total length of sticks in the pattern given.

Chapter/Topic: Direct and Inverse Proportions

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6(3r+b)

4(3r+b)

2(3r+b)

(3r+b)

answer is A.

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Detailed Solution

The length of red stick is rr and that of blue stick is bb.
The labels in the given diagram:
Question Image

There are 12 triangles.
Number of red sticks = 18
Number of blue sticks = 6
We know that the length of each red stick is r and each blue stick is b.
Length of red stick = 18r
Length of blue stick = 6b
Therefore, total length of sticks = 18r+6b
Hence, the required expression for the total length of sticks is 6(3r+b).
Hence, the correct answer is option (1).

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