option (b) is correct.
The dimensions of the original rectangle could be 4 × 5 yards
Given : A rectangle is dilated by a factor of 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 , 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
new rectangle = 4 square yards
dilation factor =
Original rectangle × = 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