Chapter 10 - Section 10.3 - Solving Nonlinear Systems of Equations - Exercise Set - Page 625: 48

21 feet by 25 feet

Area = 525 $ft^2$ Perimeter = 92 ft $2x+2y=92$ $xy=525$ $2x+2y=92$ $2(x+y)=92$ $2(x+y)/2=92=2$ $x+y=46$ $x+y-y=46-y$ $x=46-y$ $xy=525$ $x=46-y$ $x*y=525$ $(46-y)*y=525$ $46y-y^2=525$ $-y^2+46y-525=525-525$ $-y^2+46y-525=0$ $-1*(-y^2+46y-525)=0*-1$ $y^2-46y+525=0$ $(y-21)(y-25)=0$ $y-21=0$ $y-21+21=0+21$ $y=21$ $y-25=0$ $y-25+25=0+25$ $y=25$