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Q: How do you find the area of a quadrilateral whose four sides are given as 9 40 28 and 15?

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You cannot. A square can be distorted into a rhombus without changing the lengths of any of the sides, but with a different area. Similarly, the shape of any quadrilateral can be altered without affecting the length of its sides but changing its area.

Look in your math book. Square = side^2, parallelogram = base*height, etc.

well change it into another quadrilateral and then take away the area of the lines you added

Not sure what a quadrilarel is. A quadrilateral has no intrinsic sum. It has four interior angles (that sum to 360 degrees), it has four sides whose lengths can have any sum (the quadrilateral's perimeter) you want. Its area can be any number you want.

There are infinitely many possible answers. A polygon is an enclosed plane area whose boundaries comprise straight lines. The number of sides can have any value greater than 2. So apart from 4, which is a quadrilateral, you will have a name for a polygon with 3, 5, 6, 7, ... sides!

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With four sides given a quadrilateral is not clear defined. Infinite are possible. You need the length of one diagonal in addition to figure out the area.

4 times 4

You cannot. A square can be distorted into a rhombus without changing the lengths of any of the sides, but with a different area. Similarly, the shape of any quadrilateral can be altered without affecting the length of its sides but changing its area.

diagonals

It is not possible to determine the area of a quadrilateral given only the length of its four sides.

It is not possible to answer the question.The fact that there are four lengths given in the question suggests that the shape is a quadrilateral. Unfortunately, the lengths of a quadrilateral's sides does not determine its area. One way to see this is that a square can be flexed into a rhombus and the top and bottom sides of the rhombus brought closer and closer together until its area is almost zero.It is not possible to answer the question.The fact that there are four lengths given in the question suggests that the shape is a quadrilateral. Unfortunately, the lengths of a quadrilateral's sides does not determine its area. One way to see this is that a square can be flexed into a rhombus and the top and bottom sides of the rhombus brought closer and closer together until its area is almost zero.It is not possible to answer the question.The fact that there are four lengths given in the question suggests that the shape is a quadrilateral. Unfortunately, the lengths of a quadrilateral's sides does not determine its area. One way to see this is that a square can be flexed into a rhombus and the top and bottom sides of the rhombus brought closer and closer together until its area is almost zero.It is not possible to answer the question.The fact that there are four lengths given in the question suggests that the shape is a quadrilateral. Unfortunately, the lengths of a quadrilateral's sides does not determine its area. One way to see this is that a square can be flexed into a rhombus and the top and bottom sides of the rhombus brought closer and closer together until its area is almost zero.

Look in your math book. Square = side^2, parallelogram = base*height, etc.

A quadrilateral has 4 sides and 1 face which is its surface area.

Not sure what a quadrilarel is. A quadrilateral has no intrinsic sum. It has four interior angles (that sum to 360 degrees), it has four sides whose lengths can have any sum (the quadrilateral's perimeter) you want. Its area can be any number you want.

well change it into another quadrilateral and then take away the area of the lines you added

It depends on the shape of the area. Four sides of a quadrilateral - if that is what the given measurements are - do not determine a unique shape.

In geometry, a cyclic quadrilateral is a quadrilateral whose vertices all lie on a single circle. The vertices are said to be concyclic. In a cyclic quadrilateral, opposite angles are supplementary (their sum is Ï€ radians or 180Â°). Equivalently, each exterior angle is equal to the opposite interior angle. The area of a cyclic quadrilateral is given by Brahmagupta's formula as long as the sides are given. This area is maximal among all quadrilaterals having the same side lengths. Ptolemy's theorem expresses the product of the lengths of the two diagonals of a cyclic quadrilateral as equal to the sum of the products of opposite sides. In any convex quadrilateral, the two diagonals together partition the quadrilateral into four triangles; in a cyclic quadrilateral, opposite pairs of these four triangles are similar to each other. Any square, rectangle, or isosceles trapezoid is cyclic. A kite is cyclic if and only if it has two right angles. ----Wikipedia