Question

The perimeter of a square is half it area.What is the length of one side of the square?

Answer 1

Answer:

The area of the shaded region, which covers half of the square is 18 meaning that the total area of the square is 18 x 2, or 36. The area of a square is equal to the length of one side squared. Since the square root of 36 is 6, the length of 1 side is 6. The perimeter is the length of 1 side times 4 or 6 x 4.

Answer 2

$given \\ area \: = \: \frac{1}{2} \times 4 \times side \\ {side }^{2} = \: 2 \times side \\ side \: = 2$