According to Pythagoras' theorem, in a right angled triangle, hypotenuse = √Base2 + Altitude2
In a rectangle, all angles are 90 degrees. Therefore, the diagonal divides the rectangle into two right triangles.
Therefore Diagonal = √Length2 + Breadth2
Therefore, 25 = √Length2 + Breadth2
Therefore, 252 = (√Length2 + Breadth2)2 [Squaring both Sides]
Therefore, 625 = Length2 + Breadth2
Area = Length*Breadth
168 = Length*Breadth
Therefore 2*Length*Breadth = 168*2 = 336
Therefore, Length2 + 2*Length*Breadth + Breadth2 = 625 + 336
Therefore, (Length + Breadth)2= 961
Therefore, Length + Breadth = √961 = 31 [Since Length + Breadth ≠-31]
Therefore Breadth = 31 - Length
Therefore, Area = Length * Breadth = Length * (31 - Length) = 168
Therefore, -Length2 + 31*Length = 168
Therefore, -Length2 + 31*Length - 168 = 0
Therefore, Length2 - 31*Length + 168 = 0 [Multiplying both sides by (-1)]
Therefore, Length2 - 24*Length -7*Length + 168 = 0