If the area of a square is 64 square centimeters, what's the length of one side?
A. 4 cm
B. 8 cm
C. 16 cm
D. 32 cm
Answer (1)
The problem states that the area of a square is 64 square centimeters.
We use the formula for the area of a square, A = s 2 , where s is the side length.
Substitute the given area into the formula and solve for s by taking the square root.
Find that the length of one side of the square is 8 c m .
Explanation
Problem Analysis We are given that the area of a square is 64 square centimeters. We need to find the length of one side of the square.
Area Formula Let s be the length of one side of the square. The area A of a square is given by the formula: A = s 2
Substitution We are given that the area A = 64 square centimeters. Substitute this value into the formula: 64 = s 2
Solving for s To find the side length s , we take the square root of both sides of the equation: s = 64 s = 8
Final Answer Therefore, the length of one side of the square is 8 centimeters. The correct answer is B.
Examples
Understanding the area of a square and how to calculate its side length from the area is useful in many real-life situations. For example, if you're planning to install a square patio in your backyard and you know you have 64 square feet of space available, you can use this calculation to determine that each side of the patio should be 8 feet long. This ensures the patio fits perfectly in the available space.
