Question

A model car has a scale of 1:100, find the scale length in cm if the car is 4. 32m long

Answer 1

To find the scale length for a model car with a scale of 1:100 and an actual length of 4.32m, convert the length to cm (432 cm) and set up a proportion (1 cm model : 100 cm real). Solving this gives a scale length of 4.32 cm.

Step-by-step explanation:

To find the scale length of the model car with a scale of 1:100, we begin by converting the actual car length from meters to centimeters, since the scale is given in centimeters. The car is 4.32 meters long, which is the same as 432 centimeters (since 100 cm = 1 m).

Next, we set up a proportion, knowing that 1 cm on the model represents 100 cm in real life:

• 1 cm (on model) : 100 cm (real life)
• x cm (on model) : 432 cm (real life)

We can now solve for x using cross multiplication:

1 cm / 100 cm = x cm / 432 cm

100 × x = 1 × 432

x = 432 / 100

x = 4.32 cm

Therefore, the scale length of the model car is 4.32 cm.

Answer 2

4.32 cm

Step-by-step explanation:

let x = scale length of the car

1/100 = x/4.32

100x = 4.32

x = 4.32/100 = 0.0432 m

convert to m to cm: 0.0432 m x 100 cm/m = 4.32 cm