Math Problem Statement

What is the total length of fencing needed to enclose the kennel? The kennel has a length of 24 feet and a width of 13 feet.

Solution

The problem asks for the total length of fencing needed to enclose the kennel, which has a rectangular shape with dimensions 24 feet by 13 feet.

To calculate the total length of fencing, we need to find the perimeter of the rectangle. The formula for the perimeter PP of a rectangle is:

P=2×(length+width)P = 2 \times (\text{length} + \text{width})

Given:

  • Length = 24 feet
  • Width = 13 feet

Now, we can calculate the perimeter:

P=2×(24+13)=2×37=74feetP = 2 \times (24 + 13) = 2 \times 37 = 74 \, \text{feet}

Thus, the total length of fencing needed is 74 feet.

Would you like more details or have any questions?

Here are 5 related questions:

  1. How would the perimeter change if the kennel were 30 feet long instead of 24 feet?
  2. What if the kennel was square with the same area as the current rectangular kennel—how much fencing would be needed?
  3. How do you calculate the area of the kennel based on its dimensions?
  4. If the width of the kennel was increased by 50%, what would the new perimeter be?
  5. Can you find the cost of fencing if 1 foot of fencing costs $5?

Tip: When calculating the perimeter of any shape, remember to add up all sides and apply multiplication if symmetry is involved (like in rectangles or squares).

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Math Problem Analysis

Mathematical Concepts

Geometry
Perimeter

Formulas

Perimeter of a rectangle: P = 2 * (length + width)

Theorems

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Suitable Grade Level

Grades 5-7