Question 1018243
Let {{{ L }}} = length of pool and deck in feet
Let {{{ W }}} = width of pool and deck in feet
given:
(1) {{{ L = W + 2 }}}
The formula for perimeter is:
(2) {{{ P = 2L + 2W }}}
Substitute (1) into (2)
(2) {{{ P = 2*( W + 2 ) + 2W }}}
(2) {{{ P = 2W + 4 + 2W }}}
(2) {{{ P = 4W + 4 }}}
You are given that {{{ P = 140 }}} ft
(2) {{{ 140 = 4W + 4 }}}
(2) {{{ 4W = 136 }}}
(2) {{{ W = 34 }}}
and
(1) {{{ L = W + 2 }}}
(1) {{{ L =34 + 2 }}}
(1) {{{ L = 36 }}}
The dimensions are: 34 x 36 ft2
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check:
{{{ 140 = 2L + 2W }}}
{{{ 140 = 2*36 + 2*34 }}}
{{{ 140 = 72 + 68 }}}
{{{ 140 = 140 }}}
OK