The length of a rectangle is six feet more than triple the width. If the area of the rectangle is 24 square feet, how wide is the rectangle?

Question

Help me find the width plz

Answer 1

L=6+3w

A=24=Lw= (6+3w)w= 6w+3w^2

3w^2+6w-24 =0

divide by 3

w^2+2w-8=0

factor

(w+4)(w-2)=0

set each factor=0

w=2

=width

L=24/2= 12 = Length

12=6+3(2)=6+6

there is another possible solution, but with negative dimensions

width = -4 feet,

Length = - 6 feet

Area = Lw = (-6)(-4) = 24 ft^2

L = 6+3w = 6+3(-4)= 6-12=-6 feet

While generally ignore negative lengths, it might have some meaning such

as direction, in a given problem