Question

A farmer changed his farm to accommodate new crops. The length and width of the old and new farms are given below. Find the scaling factor.

• A. 3
• B. 4
• C. 5
• D. 6

Answer 1

The correct option is D 6

Length of new farm = 270 yd

Length of old farm = 45 yd

$\text{Ratio of length of new and old fields =}$
$270:45=6:1$

Width of new farm = 180 yd

Width of old farm = 30 yd

$\text{Ratio of width of new and old field =}$
$180:30=6:1$

$\text{So, Scaling factor =}\frac{\text{Dimension of new shape}}{\text{Dimension of old shape}}$

$\text{∴ Scaling factor =}\frac{6}{1}=6$

Hence, the scaling factor used is 6.