Question 412716
For a rectangle you only need the Length & the Width measurements.
Thus:
L+W=300
L=300-W
Area=L*W
5,000=(300-W)W
5,000=300W-W^2
W^2-300W+5,000=0
{{{W = (-b +- sqrt( b^2-4*a*c ))/(2*a) }}}
W=(300+-sqrt[-300^2-4*1*5,000])/2*1
W=(300+-sqrt[90,000-20,000])/2
W=(300+-sqrt70,000)/2
W=(300+-265.575)/2
W=(300+262.575)/2
W=564.575/2
W=282.29 ans. for the width.
L=300-282.29=17.71 ans. for the length.
Proof:
5,000=282.29*17.71
5,000=5,000