The perimeter of a square is 3x – 4 units. If the area of the square is 25 square units, what is the value of x?

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Accepted Answer

The area of a square is equal to the length of one side of the square multiplied by itself. Therefore, the length of one side of this square is equal to the square root of the area: √25 = 5 units. Since the length of every side of a square is the same, the perimeter of this square is (4)(5) = 20 units. Set 3x – 4 equal to 20 and solve for x: 3x – 4 = 20, 3x = 24, x = 8.

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