Question 819561
Let L = length, W = width


"The width is 8 inches longer than the size of the length" ----> {{{W = L+8}}}


"The perimeter of a rectangle is 64 inches" means that {{{P=2L+2W}}} turns into {{{64=2L+2W}}}


{{{64=2L+2W}}}


{{{64=2L+2(L+8)}}} Plug in W = L+8 (ie replace W with L+8)


{{{64=2L+2L+16}}}


{{{64=4L+16}}}


{{{64-16=4L}}}


{{{48=4L}}}


{{{4L=48}}}


{{{L=48/4}}}


{{{L=12}}}


{{{W = L+8}}}


{{{W = 12+8}}}


{{{W = 20}}}


So the width is 20 inches and the length is 12 inches.