Math Problem Statement

A rectangular garden (with a length of 20 meters and a width of 4 meters) is fenced. What is the total length of the fence around the garden?

Solution

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The problem states:

"A rectangular garden (with a length of 20 meters and a width of 4 meters) is fenced. What is the total length of the fence around the garden?"

This is a basic perimeter problem for a rectangle. To calculate the perimeter, we use the formula:

P=2×(L+W)P = 2 \times (L + W)

Where:

  • PP is the perimeter,
  • LL is the length of the rectangle,
  • WW is the width of the rectangle.

Given:

  • L=20L = 20 meters,
  • W=4W = 4 meters.

Now, substitute these values into the formula:

P=2×(20+4)=2×24=48 metersP = 2 \times (20 + 4) = 2 \times 24 = 48 \text{ meters}

Therefore, the total length of the fence around the garden is 48 meters.

Would you like further explanation or have any questions on this solution? Here are a few related questions you might find interesting:

  1. How would the perimeter change if the width of the rectangle were doubled?
  2. What is the area of this rectangular garden?
  3. How would the perimeter change if the length of the rectangle were halved?
  4. If you wanted to build a fence for a circular garden with a radius of 4 meters, what would the perimeter be?
  5. Can you solve for the area of a garden with a perimeter of 48 meters but an unknown length?

Tip: Always remember that the perimeter of a rectangle is simply the sum of all its sides, so using the formula 2×(L+W)2 \times (L + W) can save a lot of time!

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Math Problem Analysis

Mathematical Concepts

Geometry
Perimeter of a Rectangle

Formulas

P = 2 * (L + W)

Theorems

Perimeter formula for a rectangle

Suitable Grade Level

Grades 4-6