Question 697406
(a)
The formula for perimeter is:
{{{ P = 2x + 2z }}}
I'm calling one side {{{ x }}} and the adjacent side {{{z}}}
given:
{{{ P = 24 }}}
{{{ 24 = 2x + 2z }}}
Subtract {{{ 2x }}} from both sides
{{{ 24 - 2x = 2z }}}
Divide both sides by {{{ 2 }}}
{{{ 12 - x = z }}}
The adjacent side is {{{ 12 - x }}} ft
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(b)
given:
Area = {{{ y }}}
The formula for area, using my variables, would be
{{{ A = x*z }}}
{{{ y = x*z }}}
and, since
{{{ z = 12 - x }}}
{{{ y = x*( 12 - x ) }}}
{{{ y = 12x - x^2 }}}