Question

Explain how to find the original and the new dimensions of an object when the scale changes.

Answer 1

To find the original dimensions, write a proportion with the scale as the first ratio and the scale dimension compared to the actual dimension as the second ratio. Use cross products to solve. To find new dimensions, write a proportion with the new scale as the first ratio and the scale dimension compared to the actual dimension as the second ratio. Use cross products to solve.

Answer 2

A scale drawing indicates a drawing that has been enlarged or reduced by a specified amount

• The original drawing is the master copy to a scale is not applied

The scale drawing is a drawing which is drawn to a scale

The formula for the change of scale is given as follows;

• $\mathbf{Change \ of \ scale} = \dfrac{Old \ scale}{New \ scale}$

Therefore, the find the original dimension, we have;

• $Initial \ scaled \ dimension \times \dfrac{New \ scale}{Old\ scale} = \mathbf{New \ dimension}$

• $\dfrac{Initial \ scaled \ dimension}{Old\ scale} = \mathbf{Original \ dimension}$

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