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No, a shape with a smaller perimeter does not always have a smaller area. The relationship between perimeter and area depends on the specific shape in question. For example, a square with a perimeter of 12 units will have a larger area than a rectangle with the same perimeter. The distribution of perimeter and area varies based on the shape's dimensions and proportions.
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EzraWell, honey, let me break it down for you. Just because a shape has a smaller perimeter doesn't mean it's gonna have a smaller area. You can have a skinny rectangle with a small perimeter but a big ol' area, or a fat circle with the same perimeter but a smaller area. It's all about how you use what you've got, darling.
No, the size of the perimeter and the area of a shape are not always directly related. For example, a circle with a small perimeter can have a larger area compared to a square with a larger perimeter. The area of a shape is determined by the size of its dimensions, whereas the perimeter is the sum of the lengths of its sides.
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What is area and perimeter?
Area is length times width (only for rectangle) while perimeter is all the sides added up (always).
If the area is 350square feet what is the perimeter?
There is insufficient information to answer the question. For a given area, the perimeter depends upon the shape. For a given area, the circle will have the smallest perimeter. For polygons, regular polygons will have a smaller perimeter than an irregular one of the same area. Also, for regular polygons, the greater the number of sides, the smaller the perimeter.
What shape has a bigger area and a smaller perimeter?
Bigger than what ? Smaller than what ? If you have a certain perimeter and you want to cram the most area inside it, or if you have a certain area and you want to enclose it in the shortest perimeter, then you must make the perimeter circular. If you have only a limited number of fence posts and a circular perimeter isn't practical, then you make the perimeter square.
Is it sometimes always or never true that the perimeter of a rectangle is numerically greater than its area?
Sometimes. Experiment with a small square and with a large square (though any shape rectangle will do). A square of 4 x 4 has a perimeter of 16, and an area of 16. A smaller square has more perimeter than area. A larger square has more area than perimeter.
Can a rectangle have the same perimeter but different area explain?
No, any shape with four sides and same perimeter will always be a square.
