The areas of two similar figures are in a ratio of 49 :16. What is the ratio of their sides?Question 7
Question
The areas of two similar figures are in a ratio of 49 :16. What is the ratio of their sides?Question 7
Solution
The ratio of the sides of two similar figures is the square root of the ratio of their areas.
So, in this case, the ratio of the areas is 49:16.
To find the ratio of the sides, we take the square root of both numbers.
The square root of 49 is 7, and the square root of 16 is 4.
Therefore, the ratio of the sides of the two figures is 7:4.
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