Question

The ratio of the corresponding sides of two similar squares is 1 to 4. What is the ratio of the area of the

smaller square to the area of the larger square?
1) 1:3
2) 1:9
3) 1:16
4) 1:25

Answer 1

The answer is the third one: 1:16

Answer 2

1:16

Explanation:

The ratio of the sides of similar figures is actually called a scale factor. The ratio of the areas is the scale factor squared

scale factor= 1:4

ratio of areas=1^2:4^2

=1:16

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