Question 287762
The length of a rectangular flower bed is 11 ft. less than 3 times its width. The area of the bed is 20ft^2. Find the dimensions of the flower bed.

let width be x

three times width =3x

length = 3x-11

x(3x-11)=20

3x^2-11x-20=0

3x^2-15x+4x-20=0

3x(x-5)+4(x-5)=0

(3x+4)(x-5)=0

x=5 width

width is 5 feet

length = 3x-11

=3*5 -11
=4 feet length