Look at the square below:
Is the value of the area of the square greater than the perimeter of the square?
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Look at the square below:
Is the value of the area of the square greater than the perimeter of the square?
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 area is greater than the perimeter.
Yes
Look at the square below:
What is the area of the square equivalent to?
Area uses square units! When you calculate , you're counting 81 small squares that fit inside. It's much larger than the perimeter because area fills the entire space.
Not always! For small squares like 1×1 or 2×2, the perimeter is actually larger. Try it: a 2×2 square has area = 4 and perimeter = 8. Area overtakes perimeter when sides are longer than 4 units.
Think about what you're measuring: Area fills up the inside space (like carpet), so you multiply length × width. Perimeter goes around the outside edge (like a fence), so you add up all four sides.
Calculate both values first, then compare the numbers directly. Write them side by side: Area = 81, Perimeter = 36. Since 81 > 36, area is greater.
Yes! Area uses square units (like cm²) while perimeter uses linear units (like cm). But for comparison questions, you just compare the numbers: 81 vs 36.
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