Tyra's Obstacle Course Perimeter Effect

What will be the resulting effect on the perimeter of the new playground if Tyra increases the length and width of the obstacle course by a factor of three? Final answer: 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.

Understanding the Perimeter Effect

Perimeter is the total distance around the outside of a shape. In the case of a rectangle, the perimeter is calculated by adding the lengths of all four sides together. If each side of the rectangle is multiplied by a certain factor, the resulting effect on the perimeter can be determined by understanding how each side contributes to the total perimeter.

Factor of Three Increase

When Tyra increases the length and width of the obstacle course by a factor of three, it means that each side of the original rectangle is being multiplied by three. This results in all four sides being three times longer than the original, creating a larger rectangle overall.

Effect on Perimeter Calculation

Since the perimeter is the sum of all the sides of the rectangle, when each side is multiplied by three, the total perimeter will also be multiplied by three. This is because each side's increase contributes to the overall increase in the perimeter of the shape.

Conclusion

In conclusion, 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 due to the direct correlation between the length of the sides and the total perimeter of the rectangle. Therefore, the answer to the question is that the perimeter will increase by a factor of three.

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