Question

An architect draws a plan for a wheelchair ramp on the plan, the ramp is 2cm high and 24cm long what might the dimensions of the actual ramp be (use equivalent ratios)

Answer 1

`Height = 30cm`

`Length = 360cm`

Explanation:

Given

Scale Measurement

`Height = 2cm`

`Length = 24cm`

Required

Determine the possible actual measurement

First, calculate the equivalent ratio.

`Ratio = (Length)/(Height)`

`Ratio = (24cm)/(2cm)`

`Ratio = 12`

To do this, we pick a scale factor.

Assume the scale factor is 15.

The actual measurement will be:

`Height = 2cm * 15`

`Height = 30cm`

`Length = 24cm * 15`

`Length = 360cm`

When the scale ratio is calculated, we have:

`Ratio = (Length)/(Height)`

`Ratio = (360cm)/(30cm)`

`Ratio = 12`

Note that both have the same equivalent ratios of 12.

So, whatever the scale ratio you use, the equivalent ratio will be the same