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Why does the rectangle have a perimeter and area that are numerically equal?

Updated: 10/27/2021
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Zandra Danielle Narv...

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Q: Why does the rectangle have a perimeter and area that are numerically equal?
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Which rectangle has the greatest area for a fixed perimeter?

The greatest area for a fixed perimeter will be when all the sides are equal or when the rectangle approaches the shape of a 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.


What is the perimeter and area of a rectangle with the sides equal to 5 inches and 7 inches?

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What do you call a rectangle with the same area and perimeter?

Equal or equivalent fits your "clue".


What is the area of a rectangle with a perimeter of 30cm?

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The area of a rectangle is 100 inches the perimeter is 40 a second rectangle has the same area but a different perimeter. Is the second rectangle a square?

the area of a rectangleis 100 square inches. The perimeter of the rectangle is 40 inches. A second rectangle has the same area but a different perimeter. Is the secind rectangle a square? Explain why or why not.


How do you maximize the area given the perimeter?

In the case of a rectangle, you would maximize the area given the perimeter by making the dimensions equal. In other words, you would make the rectangle into a square. However, to truly maximize the area, you would make the perimeter a perfect circle.


If same area in a rectangle does that mean same perimeter?

No. For example, a 4x1 rectangle will have an area of 4 and a perimeter of 10. A 2x2 rectangle will have the same area of 4, but a perimeter of 8.


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What is the perimeter of a rectangle with an area of 24cm?

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How can you find the answer for the perimeter and area of a rectangle?

find the perimeter and area of a rectangle that is 15cm long and 5cm wide