Question 949916
w, width
L, length
L=w+5
p, perimeter bounded by 22 and 43.


{{{2w+2L=p}}}
{{{2w+2(w+5)=p}}}
{{{2w+2w+10=p}}}


The inequality for the perimeter:
{{{22<=2w+2w+10<=43}}}
{{{22<=4w+10<=43}}}
{{{22-10<=4w<=43-10}}}
{{{12<=4w<=33}}}
Divide all members by 4,
{{{highlight(3<=w<=8&1/2)}}}


What does that mean for L?
{{{L=3+5=8}}} for one extreme;
{{{L=8&1/2+5=13&1/2}}} for the other extreme;
{{{highlight(8<=L<=13&1/2)}}}.