Question

You want to make a scale model of Los Angeles. If you want a car that is 5.126 meters long to be represented by a matchbox car of length 2.000 cm, what would be the height of a building that is 25.40 meters tall?

Answer 1

The height of a building that is 25.40 meters tall is 9.910 cm

Solution:

Given that,

If you want a car that is 5.126 meters long to be represented by a matchbox car of length 2.000 cm

Therefore,

5.126 meters is represented as 2 cm

What would be the height of a building that is 25.40 meters tall ?

25.40 meters = ? cm

Let "x" be the height of a building that is 25.40 meters tall

From given,

5.126 meters = 2 cm

25.40 meters = x cm

This forms a proportion and we can solve the sum by cross multiplying

$5.126 \times x = 25.40 \times 2\\\\x = \frac{50.8}{5.126}\\\\x = 9.910$

Thus height of a building that is 25.40 meters tall is 9.910 cm