Answer:
option (b) is correct.
The dimensions of the original rectangle could be 4 × 5 yards
Step-by-step explanation:
Given : A rectangle is dilated by a factor of [tex]\frac{1}{5}[/tex] the area of the new rectangle is 4 square yards .
We have to find the dimensions of the original rectangle.
Dilation is a property to resize the figures without changing measures of angles. It just reduce the given figure if dilation factor is less than 1 and enlarge if dilation factor is greater than 1.
Since, given dilation factor is [tex]\frac{1}{5}[/tex] , which is less than 1. Thus, the the resultant figure is smaller in size then the original
Original × dilation factor = new
Here, given figure is rectangle so,
Original rectangle × dilation factor = new rectangle
Given :
new rectangle = 4 square yards
dilation factor = [tex]\frac{1}{5}[/tex]
Original rectangle × [tex]\frac{1}{5}[/tex] = 4 square yards
Original rectangle = 4 × 5 square yards
Original rectangle = 20 square yards
Thus, option (b) is correct.
Thus, the dimensions of the original rectangle could be 4 × 5 yards
