Question

Similar to problem in VA DOE Sample Problem Set: 17 The perimeter of two similar squares is in the ratio of 4:9. If the perimeter of the larger square is 108 feet, what is the side length of the smaller square?

Answer 1

To find the side length of the smaller square, set up a proportion using the ratio of perimeters.

Step-by-step explanation:

The side length of the smaller square can be found using the given ratio of perimeters. The ratio of perimeters is 4:9, and the perimeter of the larger square is 108 feet. To find the perimeter of the smaller square, we can set up a proportion:

4/9 = x/108

Cross multiplying, we get:

9x = 432

Dividing both sides by 9, we find that x = 48. Therefore, the side length of the smaller square is 48 feet.