Math Problem Statement

if the area is 25 square yards how long is each side

Solution

If the area of a square is 25 square yards, the formula to find the length of each side is based on the area of a square:

Area=side2\text{Area} = \text{side}^2

Given the area is 25 square yards:

25=side225 = \text{side}^2

To find the side length, take the square root of both sides:

side=25=5 yards\text{side} = \sqrt{25} = 5 \text{ yards}

Thus, each side of the square is 5 yards long.

Would you like a detailed explanation or have any questions about this?

Here are some related questions:

  1. How do you find the perimeter of the square from the side length?
  2. What happens if the shape is not a square but a rectangle with the same area?
  3. How can you calculate the diagonal of a square given the side length?
  4. If the area was given in different units (like square feet), how would you convert it to square yards?
  5. How can you calculate the area of other polygons, like triangles or circles?

Tip: When dealing with squares, the side length is always the square root of the area.

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Math Problem Analysis

Mathematical Concepts

Geometry
Square Area
Square Roots

Formulas

Area of a square: Area = side^2
Square root: side = √Area

Theorems

Pythagorean theorem (if considering diagonals)
Basic geometry of squares

Suitable Grade Level

Grades 6-8