Question 1009896
The formula for perimeter is:
(1) {{{ 76 = 2L + 2W }}}
Also given:
(2) {{{ 62 = 2*(L/2) + 2*( 2W ) }}}
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(2) {{{ 62 = L + 4W }}}
and
(1) {{{ 76 = 2L + 2W }}}
(1) {{{ 38 = L + W }}}
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Subtract (1) from (2)
(2) {{{ 62 = L + 4W }}}
(1) {{{ -38 = -L - W }}}
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{{{ 24 = 3W }}}
{{{ W = 8 }}}
and
(1) {{{ 38 = L + W }}}
(1) {{{ 38 = L + 8 }}}
(1) {{{ L = 30 }}}
The dimensions of the original rectangle are:
8 x 30
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The area of the new rectangle is:
{{{ A = ( L/2 )*( 2W ) }}}
{{{ A = 15*16 }}}
{{{ A = 240 }}}
240 cm2