Final answer:
To determine the value of x and the perimeter of a square whose perimeter is equal to that of a triangle, use the formula P = 4x. The correct values from the given options are b) x = 7, Perimeter = 28 units, and c) x = 5, Perimeter = 20 units, as they fit the formula for the square's perimeter.
Step-by-step explanation:
To find the value of x and the perimeter of a square with equal perimeter to a triangle, we can use the formula for the perimeter of a square, which is P = 4a, where a is the length of one side of the square.
In this context, considering we do not have information about the triangle, we can generally state that if the square and the triangle have equal perimeters and the side of the square is x, then the perimeter of the square (and the triangle) would be 4x. From the given options, we can check which one conforms to this relation:
- a) If x = 12, Perimeter = 4 * 12 = 48 units (not in the options)
- b) If x = 7, Perimeter = 4 * 7 = 28 units (matches option b)
- c) If x = 5, Perimeter = 4 * 5 = 20 units (matches option c)
- d) If x = 10, Perimeter = 4 * 10 = 40 units (not in the options)
By analyzing the options given according to the formula for the perimeter of a square, the correct answers are options b and c.