Question 1068180
Let the dimensions be {{{ a }}} and {{{ b }}}
(1) {{{ x*y = 1568 }}}
(2) {{{ 2x + 2y = 200 }}}
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(2) {{{ x + y = 100 }}}
(2) {{{ y = 100 - x }}}
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(1) {{{ x*( 100 - x ) = 1568 }}}
(1) {{{ -x^2 + 100x - 1568 = 0 }}}
Use quadratic formula
{{{x = (-b +- sqrt( b^2-4*a*c ))/(2*a) }}}
{{{ a = -1 }}}
{{{ b = 100 }}}
{{{ c = -1568 }}}
solve for {{{ x }}}