Question

If abc def and the scale factor from abc to def is , what are the lengths of , , and , respectively?

1) 5, 5, 15
2) 5, 5, 5
3) 2, 2, 5
4) 10, 10, 25

Answer 1

The lengths of abc, , and def are approximately 0.275, 0.275, and 0.01375 respectively.

Step-by-step explanation:

In this question, the scale factor from abc to def is 1/20. To find the lengths of abc and def, we can use the given ratio of scale to actual length. The ratio is given as scale/actual=1/5.5.

1. To find the length of abc, we can set up the equation 1/20 = x/5.5, where x is the length of abc. Cross-multiplying, we get 20x = 5.5. Dividing both sides by 20, we get x = 5.5/20 = 0.275.
2. To find the length of def, we can set up the equation 1/20 = y/0.275, where y is the length of def. Cross-multiplying, we get 20y = 0.275. Dividing both sides by 20, we get y = 0.275/20 = 0.01375.

Therefore, the lengths of abc, , and def are approximately 0.275, 0.275, and 0.01375 respectively.