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 AA of a square is:

A=s2A = s^2

where ss is the length of each side. We can rearrange the formula to solve for ss by taking the square root of both sides:

s=As = \sqrt{A}

Substituting the given area:

s=81=9 yardss = \sqrt{81} = 9 \text{ yards}

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:

  1. If the area of a square flowerbed was 100 square yards, what would the length of each side be?
  2. How do you calculate the perimeter of a square if you know the side length?
  3. If the flowerbed was a rectangle with an area of 81 square yards, what could the possible side lengths be?
  4. What is the diagonal of a square with a side length of 9 yards?
  5. 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