**·**2014-04-29 08:21:59

According to Pythagoras' theorem, in a right angled triangle, hypotenuse = √Base^{2} + Altitude^{2}

In a rectangle, all angles are 90 degrees. Therefore, the diagonal divides the rectangle into two right triangles.

Therefore Diagonal = √Length^{2} + Breadth^{2}

Therefore, 25 = √Length^{2} + Breadth^{2}

Therefore, 25^{2} = (√Length^{2} + Breadth^{2})^{2} [Squaring both Sides]

Therefore, 625 = Length^{2} + Breadth^{2}

Area = Length*Breadth

168 = Length*Breadth

Therefore 2*Length*Breadth = 168*2 = 336

Therefore, Length^{2} + 2*Length*Breadth + Breadth^{2} = 625 + 336

Therefore, (Length + Breadth)^{2}= 961

Therefore, Length + Breadth = √961 = 31 [Since Length + Breadth â‰ -31]

Therefore Breadth = 31 - Length

Therefore, Area = Length * Breadth = Length * (31 - Length) = 168

Therefore, -Length^{2} + 31*Length = 168

Therefore, -Length^{2} + 31*Length - 168 = 0

Therefore, Length^{2} - 31*Length + 168 = 0 [Multiplying both sides by (-1)]

Therefore, Length^{2} - 24*Length -7*Length + 168 = 0