Question 1151517


 
if the side of square is {{{a}}}, and a square piece of paper is folded in half to make a rectangle, that rectangle will have sides {{{a}}} and {{{a/2}}}

if the perimeter of the rectangle is {{{34.5cm}}}, then

{{{2(a+a/2)=34.5cm}}}
{{{2(3a/2)=34.5cm}}}
{{{3a=34.5cm}}}, 
{{{a=34.5cm/3}}}
{{{highlight(a=11.5cm)}}}=>the side length of the square piece of paper 

check rectangle:

one side is {{{a=11.5cm}}} the other side is {{{a/2=11.5cm/2=5.75cm}}}


{{{2(a+a/2)=34.5cm}}}
{{{2(11.5cm+5.75cm)=34.5cm}}}
{{{2(17.25cm)=34.5cm}}}
{{{34.5cm=34.5cm}}} which confirms our answer