Question

what is the length and width of the original rectangle? 3in 10in scaled copy length in 10 in width in 3 in to scale back to the original, use a scale factor of 6.

Explanation:

Step1: Recall scale - factor formula

To find the original dimensions from a scaled - copy, we use the formula: Original dimension = Scaled dimension÷Scale factor.

Step2: Calculate original length

Given the scaled - copy length is 10 in and the scale factor is 6. So, the original length $l=\frac{10}{6}=\frac{5}{3}$ in.

Step3: Calculate original width

Given the scaled - copy width is 3 in and the scale factor is 6. So, the original width $w = \frac{3}{6}=\frac{1}{2}$ in.

Answer:

Length: $\frac{5}{3}$ in, Width: $\frac{1}{2}$ in