Answer:
length of side of square = 8 cm
Explanation:
Let's first find the area of the triangle, using the formula A = (1/2)(base)(height):
A = (1/2)(16 cm)(4 cm) = 32 cm^2.
Twice the area of the triangle would be 64 cm^2.
The area of the square is then 64 cm^2, which is the square of the length of one side of the square. Taking the square root of 64 cm^2, we get
length of side of square = sqrt(64 cm^2) = 8 cm