jmc

Question

You have a square that has a side length of 1 centimeter. Each minute, 2 centimeters are added to the side length. After 10 minutes, what will be the difference between the area of the last square and the area of the initial square in square centimeters (do not include the units in your answer)?

Accepted Answer

The initial square has area 1^2 = 1 cm^2. After ten minutes, the side length of the square will be 1 + 2 10 = 21 cm. So, the last square has area 21^2 = 441 cm^2. So the difference in areas is 441 - 1 = 440 cm^2.