Answer:
The percentage increase for the area is greater
It is 600% greater
Step-by-step explanation:
Here, we have a square of side length 3 cm
The area of the square is L^2 = 3^2 = 9 cm^2
Perimeter of the square = 4L = 4 * 3 = 12 cm
When we triple the length of the square, its new length becomes 3 * 3 = 9 cm
Area here will be 9 * 9 = 81 cm^2
Perimeter = 4 L = 4 * 9 = 36cm
To calculate percentage change, we use the formula;
(new value - old value)/old value * 100%
For the perimeter;
(36-12)/12 * 100% = 24/12 * 100% = 2 * 100% = 200%
For the area;
(81-9)/9 * 100% = 72/9 * 100% = 8 * 100% = 800%
The percentage increase of the area is greater
How much greater? 800% - 200% = 600%
Step-by-step explanation:
