Question 1151728
.
<pre>

{{{x^2}}} + {{{(x+5)^2}}} = 73


{{{x^2 + x^2 + 10x + 25}}} = 73


{{{2x^2 + 10x - 48}}} = 0


{{{x^2 + 5x - 24}}} = 0


(x-3)*(x+8) = 0


Of the two root,  x= 3  and  x= -8,  only positive  x= 3 is the solution.


<U>ANSWER</U>.  The sides are 3 yards and 8 yards.


<U>CHECK</U>.  3^2 + (3+5)^2 = 9 + 64 = 73.    ! Correct !
</pre>