How do u calculate the area of a rectangle with four unequal sides?

Question

sorry for the error ! substitute 'quadrilateral' for rectangle !

if the four sides were a,b,c and d, give me a formula !

Answer 1

There is no generalized formula for calculating the area of a quadrilateral given just the sides. You would need to specify at least one angle to make the answer unique.

For example, let's take a quadrilateral with all sides = 10. Now if this was a square (90 degree angles), then the answer is obviously 10² = 100 sq. units.

But a rhombus is also a valid quadrilateral with equal sides. A rhombus with sides of 10 would have a smaller area, than the square. In the worst case, if it had tiny angle and a really big angle, the area would be close to zero.

So unless you have a known angle, or perhaps a known diagonal (where you could calculate the area of the two triangles), there is no way to figure the area of the quadrilateral just given the measurements a, b, c, d for the sides.

Answer 2

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Well, knowing the lengths of the 4 sides is not enough information, because a 4-sided polygon with sides of a given length can have different shapes. (For example, a rectangle can be distorted into a parallelogram without changing the lengths of the sides.) Here's what I think would be the simplest thing for you to do: Measure one of the diagonals of the lot. Then you have divided the lot into two triangles, and you know the lengths of the sides of each triangle. (The diagonal will be part of each triangle, so you will use it twice.) Now all you need is the formula for the area of a triangle when you know the lengths of its sides. Here's the formula: A = square root of [s (s-a)(s-b)(s-c)] a, b, and c are the lengths of the three sides of the triangle. s is the semiperimeter, which means "half of the distance around the triangle," which means half the sum of the sides, so: s = (a+b+c)/2 To make sure you did it right, you might want to measure both diagonals. The second diagonal divides the lot into two different triangles. You can calculate their area and see whether you get the same total area as before Good luck!

Answer 3

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How do u calculate the area of a rectangle with four unequal sides?

Answer 4

There's no such thing as a rectangle with four unequal sides. In every rectangle opposite sides must have equal lengths. Thus either:

you mean what you said, in which case the answer is "you don't"
you mean "how do YOU calculate the area of a quadrilateral with four unequal sides?" - in which case the answer is you split it into two triangles, calculate their area, and add them. There is no general formula from the lengths of the sides, because you can find pairs of quadrilaterals where corresponding sides have the same length but which have different areas.

Answer 5

if 4 sides are unequal it is not a rectangle. if 4 sides are given and not any angle or diagonal there could be various number of figures.
To illustrate let the quadrilateral be ABCD. Draw AB


Then at any angle theta draw AD and mark the points AD. Now from D and B we can find C given the distance.

chage the angle Then we have another D . Now we get another C.(for some angle there may not be a X

So this has got multiple solutions. Solutions)

Answer 6

Unequal sides implies its not a rectangle.

You will need to break the figure into rectangles and triangles and individually calculate areas of each peice and then sum up.

Answer 7

You cannot get a formula using just the length of the sides because, unlike the triangle, a quadrilateral is not uniquely determined by its sides. Two quadrilaterals with the same side length can have different area. E.g. a square with all sides of length 1 will have area 1. At the same time you can make a rhombus with all sides of length 1 with arbitrarily small area.

Answer 8

Area Of An Irregular Quadrilateral

Answer 9

first of all no rectangle has more than two pairs of unequal sizes. but if you come across a quad of that form you simply divide it into shapes that you know how to calculate the area of (eg triangles) calculate their seperate areas and simly add the different areas that you get

Answer 10

It is not possible to construct a rectangle with four unequal sides.