The area of a square with a perimeter of 40m is calculated by first determining the length of one side, which would be 10m, and then using the formula A = a² to find the area, which is 100 square meters.
Step-by-step explanation:
To calculate the area of a square whose perimeter is 40 meters, we first need to find the length of one side of the square. Since the perimeter (P) of a square is the sum of all four sides, and all the sides of a square are equal, we use the formula P = 4a, where 'a' is the length of one side. Therefore, if P = 40 meters, then each side (a) is P/4, which means a = 40/4 = 10 meters.
To find the area (A) of the square, we use the formula A = a². Substituting the length of one side that we found, we get A = 10² = 100 square meters. Thus, the area of the square is 100 square meters.