Chapter 10 - Section 10.3 - Solving Nonlinear Systems of Equations - Exercise Set - Page 625: 47

15 cm by 19 cm

Area = 285 $cm^2$ Perimeter = 68 cm $x*y=285$ $2x+2y=68$ $2x+2y=68$ $2(x+y)=68$ $2*(x+y)/2=68/2$ $x+y=34$ $x+y-y=34-y$ $x=34-y$ $x*y=285$ $(34-y)*y=285$ $34y-y^2=285$ $-y^2+34y-285=285-285$ $-y^2+34y-285=0$ $-1*(-y^2+34y-285)=0*-1$ $y^2-34y+285=0$ $(y-15)(y-19)=0$ $y-15=0$ $y-15+15=0+15$ $y=15$ $y-19=0$ $y-19+19=0+19$ $y=19$