Question

A portion of a daycare has been set aside for toddlers under 2. The dimensions are shown. A scale drawing of the room is 1.5 cm tall. How wide is the scale drawing?

Answer 1

2.4 cm.

Explanation:

See the given diagram of two similar triangles one with actual dimensions and the other drawn on paper with a certain scale.

The ratio of corresponding sides of two similar triangles is always the same.

Now, 1.5 cm on the drawing is equivalent to 2.5 m i.e. 250 cm. in actual dimension.

So, 4 m i.e. 400 cm in actual dimension will be equivalent to
`(1.5)/(250) * 400 = 2.4` cm. in the drawing. (Answer)