Calculate the side of a square that has an area equal to 25.
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Calculate the side of a square that has an area equal to 25.
To solve this problem, we'll follow these steps:
Now, let's work through each step:
Step 1: We are given the area of the square is 25 square units.
Step 2: We'll use the formula for the area of a square, , where is the length of a side.
Step 3: Set up the equation . To solve for , take the square root of both sides: . This results in , considering the constraint that a side length must be non-negative.
Therefore, the solution to the problem is the side of the square is .
5
\( \sqrt{100}= \)
Because side lengths must be positive in real life! Even though , a square can't have a negative side length of -5 units.
You'll get a decimal or irrational number! For example, if area = 26, then . Use a calculator and round appropriately.
Perfect squares are numbers like 1, 4, 9, 16, 25, 36... Their square roots are whole numbers! Practice memorizing the first 12 perfect squares to solve these faster.
While guessing might work for easy numbers like 25, it's not reliable for larger numbers. Always use the square root method - it's faster and more accurate!
Area measures the space inside (square units), while perimeter measures the distance around the outside (linear units). Don't confuse them!
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