Math Problem Statement

 A square has an area of 

49yd2

. What is the length of each side?

Solution

To find the length of each side of a square when given the area, we use the formula for the area of a square:

Area=side length2\text{Area} = \text{side length}^2

Given that the area is 49 square yards:

side length2=49 square yards\text{side length}^2 = 49 \text{ square yards}

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

side length=49=7 yards\text{side length} = \sqrt{49} = 7 \text{ yards}

So, each side of the square is 7 yards long.

Would you like more details or have any questions?


Here are 8 related questions:

  1. What is the perimeter of the square with a side length of 7 yards?
  2. If the side length of the square were doubled, what would the new area be?
  3. How does the area of a square change if each side is increased by 3 yards?
  4. If the area were 100 square yards, what would be the side length of the square?
  5. What is the length of the diagonal of a square with a side length of 7 yards?
  6. How many squares with an area of 49 square yards can fit into a larger square with an area of 196 square yards?
  7. What is the side length if the area is 36 square yards?
  8. If the side length is increased by 2 yards, what will be the new area?

Tip: The side length of a square is always the square root of the area.

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Math Problem Analysis

Mathematical Concepts

Geometry
Square
Area
Square Root

Formulas

Area of a square = side length^2
Square root formula

Theorems

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Suitable Grade Level

Grades 6-8