Question

Your little brother has a toy car he rides. It is modeled on a real car scale of 1.4. You decide to make your model to a scale of 1;16. You measure your brother's toy car and use it to find the dimensions of the car it was modeled after.

Answer 1

The real car that the toy car is modelled after would have dimensions of
`\( 6.4 \, m \)` in length and
`\( 25.6 \, m \)` in width.

- Your model car, on a scale of 1:16, would have dimensions of
`\( 0.4 \, m \)` in length and
`\( 1.6 \, m \)` in width.

To find the dimensions of the real car that the toy car is modeled after, and then to determine the dimensions of your model car, you can follow these steps:

1. Find the dimensions of the real car using the scale of the toy car (1:4).

- Real car length:
`\( 1.6 \, m * 4 = 6.4 \, m \)`

- Real car width:
`\( 6.4 \, m * 4 = 25.6 \, m \)`

2. Find the dimensions of your model car using the scale 1:16 based on the real car's dimensions.

- Model car length:
`\( 6.4 \, m / 16 = 0.4 \, m \)`

- Model car width:
`\( 25.6 \, m / 16 = 1.6 \, m \)`

Therefore:

- The real car that the toy car is modelled after would have dimensions of
`\( 6.4 \, m \)` in length and
`\( 25.6 \, m \)` in width.

- Your model car, on a scale of 1:16, would have dimensions of
`\( 0.4 \, m \)` in length and
`\( 1.6 \, m \)` in width.

Answer 2

If you have to model to a scale of 1:16, then, you have to divide the dimensions of the real car by 16.

If the length is 6.4 m, after dividing by 16 we have: 0.4 m

If the height is 1.6 m, after dividing by 16 we have: 0.1 m

The answer is:

The length of your model car must be: 0.4 m

The height of your model car must be: 0.1 m