Question

Tyra is designing an obstacle course in the shape of a rectangle. If Tyra increases the length and width of the obstacle course by a factor of three, what will be the resulting effect on the perimeter of the new playground?

a) The perimeter will increase by a factor of three.
b) The perimeter will decrease by a factor of three.
c) The perimeter will remain the same.
d) The effect on the perimeter cannot be determined.

Answer 1

When Tyra increases the length and width of the obstacle course by a factor of three, the perimeter of the new playground will also increase by a factor of three.

Step-by-step explanation:

When Tyra increases the length and width of the obstacle course by a factor of three, the perimeter of the new playground will also increase by a factor of three. This is because the perimeter is the sum of all the sides of the rectangle, and when each side is multiplied by three, the total perimeter will also be multiplied by three.