The ratio of area A to area B is 5 : 2The ratio of area B to C is = 9 : 5Find the ratio of area A to area B to area C.
Question
The ratio of area A to area B is 5 : 2
The ratio of area B to area C is 9 : 5
Find the ratio of area A to area B to area C.
Solution
To find the ratio of area A to area B to area C, we need to multiply the given ratios.
Step 1: The ratio of area A to area B is 5 : 2.
Step 2: The ratio of area B to area C is 9 : 5.
Step 3: To find the ratio of A : B : C, we multiply the corresponding values.
The ratio of A to B is 5 : 2, and the ratio of B to C is 9 : 5.
So, we multiply the first number of the first ratio (A : B) by the first number of the second ratio (B : C), and the second number of the first ratio (A : B) by the second number of the second ratio (B : C).
This gives us the ratio of A : B : C as (59) : (29) : (2*5), which simplifies to 45 : 18 : 10.
So, the ratio of area A to area B to area C is 45 : 18 : 10.
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