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A square has 4 equal sides. Let's use x to represent the length of a side.
The perimeter is the distance around the square, and since there are 4 sides, the perimeter of the square would be 4x. Let's set up an equation and solve for x.
/4 /4 Division property of equality
The area of a square is side squared, or x². We know that x=20 so we can substitute and solve for the largest area.
20²=400. Thus the answer is 400 cm squared.