Question

if the length of the rectangular pool is 5.5 cm on the drawing, which equivalent scale would be the most efficient to use to find the actual length of the pool in meters? a 1 cm to 5 m b 0.2 cm to 1 m c 3 cm to 15 m d 1 to 500

Explanation:

Step1: Analyze option A

If 1 cm represents 5 m, for a 5.5 - cm drawing length, the actual length is $5.5\times5 = 27.5$ m.

Step2: Analyze option B

If 0.2 cm represents 1 m, then 1 cm represents 5 m. For a 5.5 - cm drawing length, the actual length is $5.5\times5=27.5$ m. But we first need to convert to the "1 cm" equivalent, an extra step.

Step3: Analyze option C

If 3 cm represents 15 m, then 1 cm represents 5 m. For a 5.5 - cm drawing length, the actual length is $5.5\times5 = 27.5$ m. But we need to simplify the ratio first.

Step4: Analyze option D

The ratio 1 to 500 means 1 cm represents 500 cm or 5 m. For a 5.5 - cm drawing length, the actual length is $5.5\times5=27.5$ m. But the unit - less ratio requires more mental conversion.

The simplest and most straightforward scale is 1 cm to 5 m.

Answer:

A. 1 cm to 5 m