Compare the perimeter and area of the original figure to the enlarged figure using proportions.
A small rectangle has a length of 2 and width of 1. A large rectangle has a length of b and width of 2. StartFraction enlarged side (2) over Original side (1) = StartFraction Enlarged perimeter (4 + 2 b) over Original perimeter (6) EndFraction. (StartFraction enlarged side (2) over Original side (1) EndFraction) squared = StartFraction Enlarged area (2 b) over Original area (2) EndFraction
Which statements describe true relationships? Check all that apply.
The enlarged area is 4 times the original area, which is the square of the scale factor.
The scale factor is One-half.
The enlarged perimeter is 2 times the original perimeter, which is the scale factor.
The perimeter is proportional to the scale factor and the area is proportional to the square of the scale factor.
The enlarged area and perimeter are equal.