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:
Given that the area is 49 square yards:
To find the side length, take the square root of both sides:
So, each side of the square is 7 yards long.
Would you like more details or have any questions?
Here are 8 related questions:
- What is the perimeter of the square with a side length of 7 yards?
- If the side length of the square were doubled, what would the new area be?
- How does the area of a square change if each side is increased by 3 yards?
- If the area were 100 square yards, what would be the side length of the square?
- What is the length of the diagonal of a square with a side length of 7 yards?
- How many squares with an area of 49 square yards can fit into a larger square with an area of 196 square yards?
- What is the side length if the area is 36 square yards?
- 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