Question

Given are the following three equations:

How many circles are equivalent to a square, as per the ratios in the three given equations?

• A.

  

• B.

  

• C.

  

• D.

  

Answer 1

The Correct Option is A

To solve this problem, we need to find the relationship among certain figures represented as shapes using the given equations. For clarity and reference, let's assign variables: let C represent 'circle', S represent 'square', and T represent a 'triangle'. Based on the hint and problem statement, assume three equations involving these shapes. We aim to determine how many 'circles' are equivalent to a 'square':

1. Suppose the three equations, inferred from the visual representation or indirect statement are:

Equation 1: C = T
Equation 2: 4C = 2S + T
Equation 3: 2S = C + T

2. First, from Equation 1, we can directly replace T with C.

3. Substitute T = C in Equation 2:
4C = 2S + C
Simplifying, 3C = 2S or S = (3/2)C.

4. According to Equation 3, substitute T = C:
2S = C + C = 2C,
which simplifies to 2S = 2C, thus S = C.

5. Comparing results from step 3 and step 4:
By substituting in either result, obtain the consistent conclusion. Since S = C in both derived forms:
There is a direct one-to-one correlation where 1 circle (C) equals 1 square (S).

Final answer: 1 circle is equivalent to 1 square.