Math Problem Statement

A square garden has a side of 22cm. How many meters of fence are needed to enclose the garden?

Solution

To find the length of fence needed to enclose the square garden, you need to determine the perimeter of the square.

Steps to solve:

  1. Calculate the perimeter:
    A square has four equal sides. The perimeter PP of a square is calculated by: P=4×side lengthP = 4 \times \text{side length} Here, each side is 22 cm, so: P=4×22=88 cmP = 4 \times 22 = 88 \text{ cm}

  2. Convert centimeters to meters:
    Since the answer requires meters, convert 88 cm to meters: 88 cm=0.88 meters88 \text{ cm} = 0.88 \text{ meters}

Answer:

You would need 0.88 meters of fence to enclose the garden.

Would you like further explanation or have any questions?


  1. How do you convert cm to meters for other measurements?
  2. What would the area of the garden be?
  3. How would the perimeter change if the side length were doubled?
  4. What if the garden were rectangular instead of square?
  5. How can you calculate the cost of the fence if given a price per meter?

Tip: Always check your units to ensure they match the answer's requirements, especially when converting between metric units!

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Math Problem Analysis

Mathematical Concepts

Geometry
Perimeter
Unit Conversion

Formulas

Perimeter of a square: P = 4 * side length

Theorems

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Suitable Grade Level

Grades 5-6