Question 166189
since A=lw    where l is length and w is the width
and   P=2(l+w)

we plug in the known values

35=lw
27=2(l+w)--->27/2=l+w---->l=27/2-w---->l=(27-2w)/2

place value of l into 1st equation----->35=((27-2w)/2)(w)----->{{{70=27w-2w^2}}}
{{{2w^2-27w+70=0}}}  factoring (2w-7)(w-10) so w=7/2,10

when w=7/2 l=10  when w=10  l=7/2 {{{width= (7/2) length= (10)}}}