The diagonals will be equal and so: 4x-47 = 2x+31 => 4x-2x = 31+47 => 2x = 78
Therefore the value of x is: x = 78/2 => x = 39
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by the formula of ---A*b
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The formula for finding the diagonals of any polygon is: 0.5*(n2-3n) where n = the number of sides. A trapezoid has 4 sides so: 0.5*(16-12) = 2 diagonals
The general formula to calculate area of a trapezoid ( and an isosceles trapezoid) is:AREA=(Sum of parallel sides)(Distance between parallel sides)/2. And if you find this formula difficult, calculate separately the area of two right angled triangles and a rectangles. For more details, contact at saqibahmad81@yahoo.com
There is no simple formula and, in any case, the answer will depend on what information about the trapezoid is given.