The perimeter of a triangle is 12cm and the perimeter of a square is 3 times larger. Find the area of a square?

since by condition, the perimeter of the square is 3 times larger than the perimeter of the triangle, which means that Psquare = Ptriangle * 3 = 12 * 3 = 36 Recall the formulas for finding the perimeter and area of a square P square = 4a S square = a ^ 2 We see that to find the area of a square , we need a side. Then we find the side of the square from its perimeter: P = 4a = 36 => a = 36/4 = 9 Substitute the resulting number into the formula for finding the area of the square, we get: S = a ^ 2 = 9 ^ 2 = 81.