Math Problem Statement
The area of a square flowerbed is 81 square yards. What is the length of each side?
Solution
To solve this problem, we are given that the area of a square flowerbed is 81 square yards. The formula for the area of a square is:
where is the length of each side. We can rearrange the formula to solve for by taking the square root of both sides:
Substituting the given area:
So, the length of each side of the square flowerbed is 9 yards.
Would you like more details or have any other questions?
Here are five related questions:
- If the area of a square flowerbed was 100 square yards, what would the length of each side be?
- How do you calculate the perimeter of a square if you know the side length?
- If the flowerbed was a rectangle with an area of 81 square yards, what could the possible side lengths be?
- What is the diagonal of a square with a side length of 9 yards?
- How does the area change if you double the side length of a square?
Tip: The area of a square increases by a factor of 4 when the side length is doubled!
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Math Problem Analysis
Mathematical Concepts
Geometry
Square Root
Area of a Square
Formulas
A = s^2
s = √A
Theorems
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Suitable Grade Level
Grades 6-8