Question

A square has an area of 1134 m². Determine the perimeter of the square. Write the answer as a radical in simplest form. ​

Answer 1

Explanation:

The area of the square is given as 1134 m². Let's assume that the side length of the square is "s". Then, we can write the area of the square as s² = 1134. Solving for "s", we get s = √1134. The perimeter of the square is given by P = 4s. Substituting the value of "s", we get P = 4√1134. To simplify this expression, we can factor out the perfect square factor of 36 from 1134, which gives us 1134 = 36 x 31. Therefore, P = 4√(36 x 31) = 4 x 6√31 = 24√31. Hence, the perimeter of the square is 24√31 m.