0
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?
Wiki User
∙ 14y ago
17
Wiki User
∙ 14y ago
Add your answer:
Earn +20 pts
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.
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 perimeter of a rectangle when the area is 22?
The perimeter of a rectangle is not enough to determine its shape. Let B < 5.5 be the breadth of the rectangle and let L = (11 - B) be its length. Then perimeter = 2*(L + B) = 2*(11 - B + B) = 2*11 = 22. The choice of B was arbitrarily any number between 0 and 5.5. Therefore there are infinitely many shapes that will meet the requirements.
How do you find the the area of the rectangle if perimeter is given?
To find the area of a rectangle, when you only know the perimeter, you can just just break the sides down into two pairs of lengths. For example; if the known perimeter is 100, you can call the two short sides, we'll call those the width, 10 (x2=20) and the two long sides, we'll call those length, 40 (x2=80) 20+80=100... Now you know all the lengths of the sides, so the area formula is L x W = area or 10 x 40 = 400. Any rectangle with a perimeter of 100 will have an area of 400, no matter what the lengths are and the process works for any rectangle, you just have to break the perimeter length down into two pairs of lengths.+++That starts off right but is NOT the full method.'You need to know the ratio between its length and breadth. Then apply that ratio to half of the perimeter to find the length and breadth.'Try it:L = 4, B= 6 so P = 20 but Area = 4 X 6 = 24 square units.L = 2, B = 8 so P = 20 again BUT Area now = 2 X 8 = 16 sq. units.For any given rectangle perimeter, there is an infinite number of possible areas.For a quadrilateral, Perimeter-only works only for the Square, for which A = [P/4]^2 = [(P^2)/16]
Is every trapezoid a rectangle?
No, every trapezoid is not a rectangle. There is no overlap between rectangles and trapezoids -- that is, no trapezoid is a rectangle. They are both four-sided quadrilaterals
What is 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 rectangle?
17
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.
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)
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.
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.
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.
What is the difference between area and perimenter?
Picture a rectangle. The area is the space inside the lines. The perimeter is the distance around the lines.
What is the perimeter of a rectangle when the area is 22?
The perimeter of a rectangle is not enough to determine its shape. Let B < 5.5 be the breadth of the rectangle and let L = (11 - B) be its length. Then perimeter = 2*(L + B) = 2*(11 - B + B) = 2*11 = 22. The choice of B was arbitrarily any number between 0 and 5.5. Therefore there are infinitely many shapes that will meet the requirements.
