Question

If the perimeter of a square increases by
25%, what is the increase in its area?​

Answer 1

Answer:

Area increases by 56.25%

Step-by-step explanation:

Perimeter of square = 4a

Let the new perimeter after an increment of 25% be 4a'. That is,

4a' = 4a+4a*0.25

4a' = 5a

a' = 5a/4

Initial area = a²

Area after the increament of 25% in perimeter = (a')² = (5a/4)² = 25a²/16

Percent increment in area = {(25a²/16 - a²)/a²}*100 = (9a²/16a²)*100 = 900/16 = 56.25%

Answer 2

Answer:

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