Question 21958
width = x
lenght = 3x+5
area = 350
(x)(3x+5)=350
{{{3x^2+5x=350}}}
{{{3x^2+5x-350=0}}}
Use Quadratic Formula: {{{x = (-b +- sqrt( b^2-4*a*c ))/(2*a) }}}
a=3, b=5, c=-350
{{{x = (-5 +- sqrt( 5^2-4*3*(-350) ))/(2*3) }}}
{{{x = (-5 +- sqrt( 25+4200) ))/(6) }}} / divide by 6
{{{x = (-5 +- sqrt( 4225) ))/(6) }}} / divide by 6
Add: x=10
3(10)+5=35
Hence, the width is 10cm and the length is 35cm