# rectangle

1. ### New York Regents: Proving That a Shape is a Rectangle

https://www.nysedregents.org/geometryre/618/geom62018-mrs.pdf shows full credit proofs on Pages 61 and 62 and a proof worth 0 on Page 69. Shouldn't stating a figure has four sides and four right angles be sufficient to prove that it is a rectangle? The Regents wanted a lot of work, but if they...
2. ### The volleyball net has the shape of a rectangle measuring 40 by 2017 cells. What is t

The volleyball net has the shape of a rectangle measuring 40 by 2017 cells. What is the biggest number of ropes can be cut so that the grid does not fall into pieces?
3. ### Rectangle inscribed in a circle

Is the area of a rectangle inscribed in a circle ever rational?
4. ### how to obtain peripheral rectangle of arbitrary ellipse?

Suppose have arbitrary ellipse with center (x,y) and its radius (a,b) . I want obtain rectangle that sides tangent of peripheral ellipse. the below image describe issue .
5. ### Area rectangle

If L is 2x and W is x-4, calculate area of rectangle
6. ### Geometrical shapes of Solar panels.

Do you feel other than Rectangle,any other Geometrical Shape can be built for Solar panel? Thanks & Regards, Prashant S Akerkar
7. ### Checkers game variations.

Can the following bring variations in checkers game by changing the board design? 1 Square of 7 sides. 2 Square of 9 sides. 3 Rectangle shape of 8*6 sides. 4 Any other Geometrical Shape than Square or Rectangle. Thanks & Regards, Prashant S Akerkar
8. ### Maximization Problem (rectangle inside of circular segment)

"A circle of radius a is divided into two segments by a line L at a distance b from the center. The rectangle of greatest possible area is inscribed in the smaller of those segments. How far from the center is the side of this rectangle that is opposite to the line L?" Hi all. I'm trying to...
9. ### Loudspeakers Geometrical Shapes.

Can Loudspeakers of different Geometrical shapes create different sound generation impact to audiences? Examples - Cones,Circles,Rectangles,Parabolic etc shapes. Can we use Speakers cones in Home music systems? Thanks & Regards, Prashant S Akerkar
10. ### Radius circumscribing Golden Rectangle

Is there any significance to the radius of the circle which circumscribes the Golden Rectangle?
11. ### Rectangle: right triangle

G E B D C A F Rectangle ADEB in right triangle CFG as shown; E,D on FG, B on CG and A on CF (of course!). Givens are CG and the dimensions of the rectangle. Calculate CF. Is there a "simple way" (as I thought there would...
12. ### Formula to downscale rectangle while respecting its ratio

For instance, I have rectangle 30x15 (area is 30*15=450 units). The maximum permitted area is 300 units. I need to downscale the rectangle to have area of 300 units or if not possible, as close to 300 units as possible, and all the while respecting the rectangle's ratio. Can someone figure...
13. ### The length of a rectangle is 3 times the width. Not sure how to set this up?

The length of a rectangle is 3 times the width. If the perimeter is to be less than or equal to 104 meters. What are the possible values for the width? Not sure I know how to set this formula up?
14. ### What are the dimensions of the given rectangle?

The area of a rectangle is 420 cmÂ². The length of a rectangle is one less than thrice its width. What are the dimensions of the given rectangle?
15. ### how to find length MC in a rectangle

Please click the link above to see a diagram. The diagram shows a rectangle with vertices ABCD. M is a point inside the rectangle. AM is 3cm, BM is 12cm and DM is 11cm. Find the length of MC using coordinate geometry. Can someone please explain how to do it? Thank you very much.
16. ### Finding the length of the diagonal of a rectangle?

In the diagram shown (see attached) a rectangle is drawn inside a square in such a way that the four corners of the rectangle lie on the edges of the square. Each corner of the rectangle lies x cm from one corner of the square and y cm from another corner. a) Find an expression for the length...
17. ### The golden rectangle

Hi everyone, I have a math problem to solve for. It says an area rug is shaped like a golden rectangle. It's length is 8 ft. What's the rug's width? Write your answer in simplified radical form and rounded to the nearest tenth of a foot. I made a diagram but I don't know where to go from there...
18. ### Calculate co-ordinates of embedded rectangle on rotation of parent rectangle

OK... too many years since school but I want to know the mathematical formulae to calulcate the co-ordinates of the green rectangle (X,Y of each corner) when he known values are: Width and Height of parent (blue) rectangle Rotation in degrees or radians about the centre of the rectangle...
19. ### The length of a rectangle is 6 units more than 9 times the width. Write an expressio

Am I even close? 2x+2 (9x+6)
20. ### Volume of a rectangle based truncated pyramid

What is the equation of a rectangle based truncated pyramid? I have seen three equations on the internet, none of them yield the same result when i put numbers in. see below: V = h/6.(a.b +c.d + (a+c. b+d)) V = h/3.(a.b +c.d + (a.d+ b.c)/2) V = (d.H.(a^2 + ac+c^2))/3c No idea which...