If the side of the square is increased by 7 cm, then the area of the square will increase by 301

If the side of the square is increased by 7 cm, then the area of the square will increase by 301 cm squared. Find the perimeter of the square.

1) Let us denote the side of the square by y cm.Then its area is equal to y ^ 2 cm2. If you increase the side by 7 cm, then it will be equal to (7 + y) cm. The area will be equal to (7 + y) ^ 2 and it will increase by 301 cm2. We get the following equation:

(7 + y) ^ 2 = y ^ 2 + 301,

49 + 14y + y ^ 2 = y ^ 2 + 301,

14y = 301 – 49,

14y = 252,

y = 252/14,

y = 18.

2) If the side of the square is 18 cm, we find the perimeter by multiplying by 4, because the square has four equal sides:

18 * 4 = 72 (cm).

Answer: the perimeter of the square is 72 cm.