Question

The sides of a square are increased by a scale factor of 6. The perimeter of the smaller square is 10ft. What is the perimeter of the larger space?
A.10 ft
B. 40 ft****
C. 60 ft
D. 120 ft
Am I right?
Thnak you so much!

Answer 1

Since perimeter is a linear unit of measurement,
the perimeters of similar shapes are proportional to the size of the sides

since the new side is 6 times the old one, the perimeter is 6 times the old one, or 60 ft

or, the long way ....
since perimeter of the square is 10 ft, each side is 2.5 ft
the new side is 6 times as long or 6(2.5) ft or 15 ft
then 4 sides would give you a new perimeter of 15(4) or 60 ft

Answer 2

Thank you