Question 1177553


given:
 backyard has a length of {{{40 }}}feet and a width of {{{32}}} feet.
the length of your new patio is {{{14}}} feet

since backyard and patio  are same shape, similar rectangles, so the sides are proportional

so, the ratio of the lengths is

{{{40/14=2.857142857142857}}}

then the ratio of the widths is same, so

{{{32/w=2.857142857142857}}}
{{{w=32/2.857142857142857}}}
{{{w=11.2}}}

new patio has a perimeter of  {{{P=2(14+11.2)=50.4}}}