Question 143530
Perimeter of any rectangle: {{{P=2*L+2*W=2(L+W)}}}




{{{P=2(L+W)}}} Start with the second form of the perimeter formula (either form will work)




{{{P=2(sqrt(19)+7+sqrt(76))}}} Plug in {{{L=sqrt(19)+7}}} and {{{W=sqrt(76)}}} 




{{{P=2(sqrt(19)+7+2*sqrt(19))}}} Rewrite {{{sqrt(76)=sqrt(4)*sqrt(19)=2*sqrt(19)}}}



{{{P=2(3*sqrt(19)+7)}}} Combine like terms



{{{P=6*sqrt(19)+14}}} Distribute



So the perimeter is {{{P=6*sqrt(19)+14}}}