Math Problem Statement

Find the area and perimeter of a square with a side length of 19 yards.

Solution

Let's solve for the perimeter and area of the square.

Given:

  • Side length = 19 yards

Perimeter Formula:

P=4×sideP = 4 \times \text{side} P=4×19=76 yardsP = 4 \times 19 = 76 \text{ yards}

Area Formula:

A=side×sideA = \text{side} \times \text{side} A=19×19=361 square yardsA = 19 \times 19 = 361 \text{ square yards}

Final Answers:

  • Perimeter = 76 yards
  • Area = 361 square yards

Would you like a step-by-step breakdown or explanation?

Here are some related questions to explore:

  1. How do you find the perimeter of a rectangle?
  2. What happens to the area if the side length is doubled?
  3. How is the formula for a square's area derived?
  4. How do you convert square yards to square feet?
  5. What real-life applications involve calculating the perimeter and area of squares?

Tip: The perimeter is always the sum of all sides, while the area measures the space inside!

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Math Problem Analysis

Mathematical Concepts

Geometry
Measurement

Formulas

Perimeter of a square: P = 4 × side
Area of a square: A = side × side

Theorems

Properties of squares

Suitable Grade Level

Grades 5-7