What happens to the area of a square if its perimeter is tripled?
Step 1:
Perimeter of square
Let the initial perimeter be
Side of the square
Side of the square
Area of square
Step 2:
New perimeter when tripled
Side of square when perimeter tripled
Area of square when perimeter tripled
Step 3:
Impact on area when perimeter tripled
Hence, area of square becomes of initial area when perimeter is tripled.