Question 512875
The formula for perimeter:
{{{ P = 2W + 2L }}}
given:
{{{ 2W + 2L = 88 }}}
(1) {{{ w + L  = 44 }}}
also
(2) {{{ L = 4W - 1 }}}
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(1) {{{ L = 44 - W }}}
Substitute this into (2)
(2) {{{ 44 - W = 4W - 1 }}}
(2) {{{ 5W = 44 + 1 }}}
(2) {{{ 5W = 45 }}}
(2) {{{ W = 9 }}}
and, since
(1) {{{ L = 44 - W }}}
(1) {{{ L = 44 - 9 }}}
(1) {{{ L = 35 }}}
The dimensions are 9" x 35"
check:
{{{ P = 2W + 2L }}}
{{{ P = 2*9 + 2*35 }}}
{{{ P = 18 + 70 }}}
{{{ P = 88 }}}
OK