Finding the Diagonal of a Square
To determine the length of the diagonal of a square when you know its area, you can follow a series of straightforward steps. Here’s how to do it:
Step 1: Understanding the Area of a Square
The area of a square is calculated using the formula:
Area = side length × side length = side length²
In your case, the area is given as 98 square feet. So we set up the equation:
side length² = 98
Step 2: Solving for the Side Length
To find the side length, take the square root of both sides:
side length = √98
Calculating that:
side length ≈ 9.8995 feet
Step 3: Finding the Diagonal
The diagonal of a square can be found using the formula:
Diagonal = side length × √2
Plugging in the value we found for the side length:
Diagonal = 9.8995 × √2
Calculating this gives us:
Diagonal ≈ 9.8995 × 1.4142 ≈ 14.0 feet
Conclusion
Therefore, the length of the diagonal of a square with an area of 98 square feet is approximately 14.0 feet.