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In Mathematics / College | 2025-07-05

If the area of a square is 64 square centimeters, what's the length of one side?
A) 32 cm
B) 16 cm
C) 8 cm
D) 4 cm

Asked by saaniyah1

Answer (2)

The problem states that the area of a square is 64 square centimeters.
We use the formula for the area of a square, A re a = s 2 , where s is the side length.
We set up the equation s 2 = 64 and solve for s by taking the square root of both sides.
We find that the side length is 8 ​ cm.

Explanation

Problem Analysis We are given that the area of a square is 64 square centimeters. Our goal is 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 of a square is given by the formula: A re a = s 2

Set up the equation We are given that the area is 64 square centimeters. So, we can set up the equation: s 2 = 64

Solve for s To find the length of one side, we need to 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 C) 8 cm.


Examples
Understanding the area of squares is useful in many real-life situations. For example, if you're tiling a square floor and know the total area you want to cover, you can calculate the length of each side to determine how many tiles you need. Similarly, if you're designing a square garden and want to know how much fencing to buy, knowing the area helps you find the side length and, consequently, the perimeter.

Answered by GinnyAnswer | 2025-07-06

The length of one side of the square is 8 centimeters, derived from the area being 64 square centimeters using the formula for the area of a square. The correct answer is C) 8 cm.
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Answered by Anonymous | 2025-07-17

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