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The number feared by Pythagoreans since it lies halfway between the only integers that can be both the perimeter and the area of the same rectangle?

17


The number feared by Pythagoreans since it lies halfway between the only two integers that can be both the perimeter and the area of the same triangle?

The number feared by the Pythagoreans is 5. This is because the only two integers that can serve as both the perimeter and area of the same triangle are 6 and 4, which correspond to a right triangle with sides of 3, 4, and 5. Since 5 lies halfway between these two integers, it was considered ominous or cursed by the Pythagoreans, who held strong beliefs about the properties and significance of numbers.


What is the number feared by the Pythagoreans?

17. A 4x4 rectangle has a perimeter of 16 units and an area of 16 square units. A 3x6 rectangle has a perimeter of 18 units and an area of 18 square units. The number 17 is halfway between 16 and 18.


Is there a relationship between area and perimeter of a rectangle and Why?

Yes, there is a relationship between the area and perimeter of a rectangle, although they measure different aspects. The area is calculated by multiplying the length by the width, while the perimeter is the sum of all sides, given by the formula ( P = 2(l + w) ). As the dimensions of a rectangle change, both area and perimeter can increase or decrease, but they do not have a direct proportional relationship; for instance, a rectangle can have the same perimeter but different areas depending on its length and width.


What is the difference between perimeter and area of polygon?

perimeter is the measure around the figure; area is the measure within the figure formula: perimeter: length+length+width+width=perimeter (for square or rectangle) area: length times width= area ( for square or rectangle)


A rectangle has a perimeter of 10 ft Write the area A of the rectangle as a function of the length of one side x of the rectangle?

This question has no unique answer. A (3 x 2) rectangle has a perimeter = 10, its area = 6 A (4 x 1) rectangle also has a perimeter = 10, but its area = 4 A (4.5 x 0.5) rectangle also has a perimeter = 10, but its area = 2.25. The greatest possible area for a rectangle with perimeter=10 occurs if the rectangle is a square, with all sides = 2.5. Then the area = 6.25. You can keep the same perimeter = 10 and make the area anything you want between zero and 6.25, by picking different lengths and widths, just as long as (length+width)=5.


What is the sides of a rectangle if the perimeter is 16 cm?

The formula for the perimeter of a rectangle is 2(L + W), where L is the length and W is the width. Then 16 = 2(L + W) : 8 = L + W. And L = W - 8, or W = L - 8 So, if you were dealing integers, you can choose any two numbers between 1 and 7 so that the numbers when added equal 8.


Is there a relationship between the area and the perimeter of a rectangle explain?

Yes, there is. The area of a rectangle sets a lower limit on its perimeter.If the area is A, then the quadrilateral shape with the smallest perimeter has sides of length sqrt(A). Therefore the minimum perimeter is 4*sqrt(A). The perimeter can have any value grater than that since the area of the rectangle can be maintained while making it thinner and longer and thus increasing its perimeter with out any upper limit.


What plus what equals 12 for the perimeter of a rectangle?

Any number between 0 and 12 that you like. There is no need for the sides of the rectangle to be whole numbers!


What is the difference between length and perimeter?

Length is the distance between two different points. But perimeter is the distance between the same point. Really interesting. Isn't it? Perimeter of sqaure is 4 x side Perimeter of rectangle is 2 (length + breadth) Perimeter of triangle is a + b + c Perimeter of a circle is specially named as circumference.


What is the relationship for perimeter and area for rectangle?

There is no relationship between the perimeter and area of a rectangle. Knowing the perimeter, it's not possible to find the area. If you pick a number for the perimeter, there are an infinite number of rectangles with different areas that all have that perimeter. Knowing the area, it's not possible to find the perimeter. If you pick a number for the area, there are an infinite number of rectangles with different perimeters that all have that area.


Is there a relationship between the area and the perimeter of a rectangle?

No. Different rectangles, all with the same area, may have a different perimeter. Example:* A rectangle of 4 x 1 has an area of 4 square units, and a perimeter of 2(4+1) = 10. * A rectangle of 2 x 2 has an area of 4 square units, and a perimeter of 2(2+2) = 8. * A rectangle of 8 x 1/2 has an area of 4 square units, and a perimeter of 2(8 + 1/2) = 17. In fact, for any given area, you can make the perimeter arbitrarily large. On the other hand, you get the lowest perimeter if your rectangle is a square.