Look at the square below:
Is the value of the perimeter of the square greater than its area?
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Look at the square below:
Is the value of the perimeter of the square greater than its area?
Remember that the area of the square is equal to the side of the square raised to the 2nd power.
Remember that the perimeter of the square is equal to the side of the square multiplied by 4.
We calculate the area of the square:
We 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 measures square units! When you multiply 10×10, you're counting how many unit squares fit inside. The area square units is much larger than the perimeter of 40 linear units.
Think about what you're measuring: Perimeter is the distance around the outside (add all 4 sides), while area is the space inside (multiply length × width).
Not always! For small squares with sides less than 4 units, the perimeter is actually larger than the area. Try a 2×2 square: area = 4, perimeter = 8!
Area uses square units (like cm², m²), while perimeter uses linear units (like cm, m). Since this problem asks for comparison, you can work with just the numbers: 100 vs 40.
Yes! Always calculate both the area and perimeter separately, then compare the results. This shows you understand both formulas and can make the comparison accurately.
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