Exponents and Polynomials

Question

The length of a rectangle is 11 m more than twice the width, and the area of the rectangle is 63 m2. Find the dimensions of the rectangle.

length=

width=

Answer 1

x=11+2y

xy=63

(11+2y)y =63

2y^2+11y -63=0

(2y-7)(y+9)=0

y=7/2= 3.5 m= width

x=18 m= length

ignore the solution y=-9, x=-7,

unless negative dimentions somehow refer to direction