Question

this rectangle is a scaled copy. it was scaled by a scale factor of 8. suppose you want to scale it back to its original size. what is the length and width of the original rectangle? 64in 32in to scale back to the original, use a scale factor of $\frac{1}{8}$.

Explanation:

Step1: Recall scale - factor formula

To find the original length and width, we use the formula: Original dimension = Scaled dimension / Scale factor. The scale factor is 8.

Step2: Calculate original length

The scaled - length is 64 in. So, the original length $l=\frac{64}{8}=8$ in.

Step3: Calculate original width

The scaled - width is 32 in. So, the original width $w = \frac{32}{8}=4$ in.

Answer:

Length: 8 in
Width: 4 in