Look at the square below:
Is the value of the perimeter of the square greater than the area of the square?
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Look at the square below:
Is the value of the perimeter of the square greater than the area of the square?
Let's remember that the area of the square is equal to the side of the square raised to the second power.
Keep in mind that the circumference of the square is equal to the side of the square times 2.
Let's remember that the perimeter of the square is equal to the side multiplied by 4.
Calculate the area of the square:
Then calculate the perimeter of the square:
Therefore, the perimeter is not greater than the area.
No
Look at the square below:
What is the area of the square equivalent to?
Because area grows exponentially (5² = 25) while perimeter grows linearly (4 × 5 = 20). For squares with sides ≥ 5, area is usually larger than perimeter!
For small squares with sides 1, 2, or 3 units! Try a 2×2 square: area = 4, perimeter = 8. The perimeter is larger because the square is too small.
Yes! For any square, area = side × side = side². This is different from rectangles where you multiply length × width.
Area uses square units (like cm²) and perimeter uses linear units (like cm). But when just comparing numbers like here, focus on the numerical values: 25 vs 20.
Think of walking around the square! You walk along all 4 equal sides, so perimeter = side + side + side + side = 4 × side.
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