Math Problem Statement

You know the perimeter of a square to be 22 meters. Find the length of one side.

Solution

To find the length of one side of a square when given its perimeter, we can use the following formula:

Perimeter of a square=4×side length\text{Perimeter of a square} = 4 \times \text{side length}

Given that the perimeter is 22 meters:

22=4×side length22 = 4 \times \text{side length}

Now, solve for the side length:

side length=224=5.5meters\text{side length} = \frac{22}{4} = 5.5 \, \text{meters}

Thus, the length of one side of the square is 5.5 meters.

Would you like more details on this? Here are some related questions to explore:

  1. What is the area of the square with a side length of 5.5 meters?
  2. How would the perimeter change if each side of the square increased by 2 meters?
  3. What is the relationship between the perimeter and the area of a square?
  4. If a square’s side length doubles, how does the perimeter change?
  5. How would you calculate the diagonal of this square?

Tip: Always remember that the perimeter of any polygon is the sum of the lengths of all its sides.

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Math Problem Analysis

Mathematical Concepts

Geometry
Perimeter
Square

Formulas

Perimeter of a square = 4 × side length

Theorems

Basic geometric properties of a square

Suitable Grade Level

Grade 6-8