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!
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
Thank you
To find the perimeter of the larger square, you need to know the length of one side of the smaller square.
Given that the perimeter of the smaller square is 10 ft, we can find the length of one side by dividing the perimeter by 4 since a square has 4 equal sides.
10 ft ÷ 4 = 2.5 ft
Now, we can calculate the length of one side of the larger square by multiplying the length of one side of the smaller square by the scale factor of 6.
2.5 ft × 6 = 15 ft
Since the larger square also has 4 equal sides, to find the perimeter of the larger square, we multiply the length of one side by 4.
15 ft × 4 = 60 ft
Therefore, the perimeter of the larger square is 60 ft.
So, the correct answer is C. 60 ft, not B. 40 ft.
You're welcome!