The number of inches in the perimeter of a square is equal to the number of square inches in its area. Find the length, in inches, of a side of the square.
I need to find the length of a side of a square that satisfies the given condition. I know that the perimeter of a square is 4 times the length of a side, and the area of a square is the length of a side squared. So I can write an equation that relates the perimeter and the area: 4s = s^2, where s is the length of a side. To solve for s, I can subtract 4s from both sides to get s^2 - 4s = 0. Then I can factor out s to get s(s - 4) = 0. This means that either s = 0 or s - 4 = 0, so s = 0 or s = 4. But s = 0 doesn't make sense for a square, so I can ignore that solution. The only valid solution is s = 4, so the length of a side of the square is 4 inches. 