Mathematics Stack Exchange
Mathematics Stack Exchange

Questions tagged [rectangles]

Questions about rectangles and their properties.

In Euclidean plane geometry, a rectangle is a quadrilateral with $4$ right angles. A square is a rectangle. Non-square rectangles are called oblongs.

The perimeter of a rectangle with width $w$ and height $h$ is $2(w+h)$, and the area is $wh$.

597 questions
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Rectangle problem with shared wall split 4 ways (given perimeter)

You plan to build four identical rectangular sheep pens in a row. Each adjacent pair of pens share a fence between them. You have a total of 304304 feet of fence to use. Find the dimension of each pen such that you can enclose the maximum area. I…
janh callm
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Trouble solving equation, finding dimensions of rectangles with shared side (given perimeter)

You will build a rectangular sheep pen next to a river. There is no need to build a fence along the river, so you only need to build three sides. You have a total of 450 feet of fence to use. Find the dimensions of the pen such that you can enclose…
janh callm
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Find the rectangle with the greatest area

Find the rectangle with the greatest area, with a corner on O(0,0), one in the Ox axis and one on Oy axis, and one on the parabolic curve $y=4-x^2$ I thought to use the tangent of the parabolic function f'(x)=-2x. i don't know what to do next. For…
prishila
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Angle of inclination from the vertical

The leaning tower of pisa is 179 feet tall, and when the sun is directly overhead, it's shadow measures 16.5 feet. At what angle is the tower inclined from the vertical? What I did was I found tan inverse of (179/16.5). And then subtracted the angle…
Elenave M.
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Give a coordinate proof that a parallelogram is a rectangle iff its diagonals are congruent

I'm kind of confused on how to solve this one, especially through using coordinate proof. I know how to prove the other way around. If you know that you have a rectangle, then you know that it's diagonals are congruent through use of the distance…
Alphatron
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Have a doubt about few concepts - Can anyone elaborate it

For a given perimeter, the rectangle with the largest area is a square. For a given area, the rectangle with the smallest perimeter is a square. What do the above sentences mean? Can any one explain the concepts with examples?
harish
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Find width and length of rectangle given diagonal and area

The diagonal of rectangle is 25, its area is 168, find width and length. I tried solving this problem using trigonometry since diagonal and two sides forms a right triangle, from area i got that a=168/b, considering that area is a*b=168, I reached…
drin
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Resizing Rectangular Boxes With Mouse

I'm creating a system that allows users to create objects on the screen (as rectangles) and move them around and resize them using the corners and the mouse. My only problem is, when one of the objects is not a square and it is resized, the corner…
Brian Leishman
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Finding the greatest possible dimension of a rectangle

Here's the question: If the greatest possible distance between two points within a certain rectangular solid is 12, then which of the following could be the dimension of the solid? A) 3x3x9 B) 3x6x7 C) 3x8x12 D) 4x7x9 E) 4x8x8 I set up the problem…
arithmeticboy
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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 parallel. Can I figure out the angles?
m.a.a.
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How to find the area of a rectangle when only percentages are given?

That question goes like this 'If The larger sides of a rectangle are increased by 25% and the smaller sides are decreased by 20% , what is the area of the rectangle?' My original attempt was to assume the larger side as x and the smaller side as y…
Umer Qureshi
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