# SOLUTION: The perimeter of a square is not more than 80 cm. What is the largest possible area of the square

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 Click here to see ALL problems on Inequalities Question 404876: The perimeter of a square is not more than 80 cm. What is the largest possible area of the squareAnswer by algebra help tutor(6)   (Show Source): You can put this solution on YOUR website!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. 80=4x /4 /4 Division property of equality 20=x 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.