Let  $a,b,c,d$ be distinct real numbers and  $a\text{ and }b$ are the roots of quadratic equation $x^2-2cx-5d=0$  , If  $c\text{ and }d$ are the roots of the quadratic equation  $x^2-2ax-5b=0$ then find the numerical value of ${(a+b+c+d)}^2$