# Tagged Questions

Questions about rectangles and its properties.

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### Why can't I know if the figure is a rectangle, if angles c+d=180 and c=d?

I have a four sided figure, abcd (see the image, and ignore the EF part), where I know that angles c+d=180 and c=d. However, this isn't enough information to decide if this is a rectangle - why is ...
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### What would be the area of this Red Marked points? And how to calculate this?

I have been given the length $L$ and the width $W$ of a rectangle and the radius $R$ of circle which is situated in the center of the rectangle . I need to find the area of the red marked portion. ...
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### Fitting Rectangles

I have a quantity of small rectangles I need to fit in a larger rectangle frame. I need an equation to figure out what is the maximum size I can make the small rectangles before they are all too big ...
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### An interesting geometry problem with midpoints and perpendicular lines in a rectangle

I saw this question from a student's geometry homework. And I was thinking whether there was an efficient method to solve the question. We are supposed to prove $DM \perp MN$. My thinking is to ...
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### Can I find out the angles of a rectangle given the sidelengths and that 2 of the sides are parallel?

Not really a big brain when it comes to math. First question here... hope it meets the standards. Let's say I've got a quadrilateral, I know the side lengths, and I know two of the sides are ...
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### Optimized placing of same-size squares into rectangles

Suppose that we have several squares of the same size. We want to draw n rectangles (red and yellow rectangles here) to contain these squares. The goal is to have ...
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### Finding which diagonal area of a rectangle you are in

I am trying to calculate which diagonal half a user has clicked within a box using x and y co-ordinates. I have found out how to do this in one diagonal direction, but can't figure out how to change ...
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### Partition of a rectangle into smaller rectangles, with their diagonals forming a loop

The Big and the Small Kingdom are both rectangular islands and divided into rectangular landscape. In each province there is a road that runs along one of the diagonals. On each island exist roads ...
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### Find points of Rectangle given two diagonal points and a normal in 3D

I'm developing a geometry framework in a program I'm working on that contains all the good stuff like vectors, points, lines, planes, polygons, etc. I was attempting to create a rectangle object, but ...
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### Moving overlapping rectangle by a vector portion

I have rectangles: $S$, $T$, and $R$, described by their top left and bottom right corners, such as $S = ([S_{x1},S_{y1}], [S_{x2},S_{y2}]$), etc. The rectangles $S$ and $T$ are connected by a line ...
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### Prove that a polyrectangle in an open set has a superset polyrectangle.

Theorem: Let $S \subseteq \mathbb{R}^n$ be an open set. Let $P \subset S$ be a polyrectangle. Then there exists another polyrectangle $P'$ such that $P \subset P' \subset S$. A polyrectangle ...
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### How do I find the maximum perimeter of a rectangle inscribed in an ellipse?

The problem I've been stuck on is this: A rectangle is inscribed in the ellipse $$\frac{x^2}{20} + \frac{y^2}{12} = 1$$ What is the maximum perimeter of the rectangle? I don't even know if I'm ...
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### Scale a rectangle from a point other than its center [closed]

How do I scale a rectangle from a point other than the centre of the rectangle? Specifically, I am trying to determine the new X and Y position of a rectangle after having rescaled it, taking into ...
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### Filling a rectangle with congruent squares in two columns

I have a rectangle. This rectangle is divided into two columns; the widths of these columns are not necessarily equal, and are not known. I want to fill the rectangle with squares. The number of ...
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### Largest rectangle not touching any rock in a square field

You want to build a rectangular house with a maximal area. You are offered a square field of area 1, on which you plan to build the house. The problem is, there are $n$ rocks scattered in unknown ...
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### Determine what is length and what is width of a rectangle

I have an algorithm to write for an app. So I am given a reference rectangle with known width and length and I have bigger rectangle which sides I have to determine, where one side is known. I realize ...
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### Covering a rectangle with circles

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Is this figure possible to achieve? $AD > BC$; $\angle BCD$ = $\angle BAD$ = $90^{\circ}$ . And this is supposed to be a closed quadrilateral. I'm confused as to whether this is viable - since \$...