Luke build a model train to a scale of 1:25.calculate a copy of the table below using his scale.

length of engine on the real x and on the model is 16cm.
length of train on the real 20m and x on the model.
height of train is x and 12cm on the model.

Any measurement on the model is 1/25 × the measurement on the real train.

Any measurement on the real train is 25 × the measurement on the model.

To calculate the dimensions of the table using Luke's scale of 1:25, we need to scale down the measurements from the real train to the model train.

1. Length of the engine:
- The length of the engine on the real train is 16 cm.
- Since the scale is 1:25, we can divide the real length by 25 to get the length on the model train.
- Therefore, the length of the engine on the model train is 16 cm / 25 = 0.64 cm.

2. Length of the train:
- The length of the train on the real train is 20 m.
- We need to convert this length from meters to centimeters by multiplying it by 100.
- So, the length of the train on the real train is 20 m * 100 = 2000 cm.
- Using the scale of 1:25, we divide the real length by 25 to get the length on the model train.
- Therefore, the length of the train on the model train is 2000 cm / 25 = 80 cm.

3. Height of the train:
- The height of the train on the real train is x.
- We need to find the corresponding height on the model train using the scale of 1:25.
- The height on the model train is x cm / 25.

Given that the height of the train on the model train is 12 cm, we can set up a proportion to solve for x:

x / 25 = 12 / 1

Cross-multiplying gives us:

x = 25 * 12

x = 300 cm

Therefore, the height of the train on the real train is 300 cm.

So, the dimensions of the table using Luke's scale of 1:25 are:
- Length of the engine: 0.64 cm
- Length of the train: 80 cm
- Height of the train: 300 cm