Mrs. Burkhart deposited $45.25 in her checking account, but instead of adding $45.25 to her balance, the bank accidentally subtracted $45.25. How much
money should the bank add to her account to correct the mistake?
I tried 45.25 it don't work

56.6

step-by-step explanation:

the ratio of the perimeters is equal to the scale.

the ratio of the areas is equal to the square of the scale.

34 / 20 = k

a / 19.6 = k²

substituting:

a / 19.6 = (34 / 20)²

a = 19.6 (34 / 20)²

a ≈ 56.6

for this case we must apply distributive property to the following expression:

the distributive property states that:

then, when applying the property we have to multiply the -2 for each term within the parenthesis: