Chapter 10 - Review - Page 632: 41

10 feet is width, 15 feet is length

Area = $150 ft^2$ Perimeter = 50 ft $2x+2y=50$ $xy=150$ $2x+2y=50$ $2(x+y)=50$ $2(x+y)/2=50/2$ $x+y=25$ $x+y-y=25-y$ $x=25-y$ $xy=150$ $(25-y)*y=150$ $25y-y^2=150$ $-y^2+25y=150$ $-y^2+25y-150=150-150$ $-y^2+25y-150=0$ $-1*(-y^2+25y-150)=0*-1$ $y^2-25y+150=0$ $(y-10)(y-15)=0$ $y-10=0$ $y-10+10=0+10$ $y=10$ $y-15=0$ $y-15+15=0+15$ $y=15$ $y=10$ $x=25-y$ $x=25-10$ $x=15$