Question

The perimeter P of a square equals four times the length of a side t. What is the relationship between P and t?

a) P = t/4
b) P = 4t
c) P = t + 4
d) P = t^2

Answer 1

The perimeter P of a square is equal to four times the length of one of its sides t, which gives us the formula P = 4t. The correct answer is option b).

Step-by-step explanation:

The relationship between the perimeter P of a square and the length of one of its sides t is that the perimeter is equal to four times the side length. Therefore, the correct formula expressing this relationship is P = 4t. For example, if a side of the square is 3 meters long.

The perimeter would be 4 times this length, which gives us 12 meters. This is consistent with the definition that the perimeter of a square is the total distance around the square, which is equal to the sum of all four sides. Since all sides of a square are equal, one side length multiplied by four will give us the total perimeter.