Question

this rectangle is a scaled copy. it was scaled by a scale factor of $\frac{1}{6}$. suppose you want to scale it back to its original size. to find the length of the original rectangle, you can multiply the length of the scaled copy by the reciprocal of the scale factor, 6. 3in 10in original rectangle scaled copy length in 10 in width? 3 in

Explanation:

Step1: Identify scale - factor and length of scaled copy

The scale - factor of the scaled copy is $\frac{1}{6}$, and the length of the scaled copy is 10 in.

Step2: Use the formula to find the original length

The formula to find the original length $L_{original}$ from the scaled - copy length $L_{scaled}$ is $L_{original}=L_{scaled}\times\frac{1}{\text{scale - factor}}$. Substitute $L_{scaled} = 10$ in and $\text{scale - factor}=\frac{1}{6}$ into the formula. So $L_{original}=10\times6 = 60$ in.

Answer:

60