HELP ASAP: math hw i cant get

Question

a rectangular floor can be covered completely with tiles that each measure one square foot. the length of the floor is 1 foot longer than the width and the area is less than 56 square feet. what are the possible dimensions of the floor

Answer 1

A<56

L<8 feet Long

w< 7 feet wide

A=Lw=(w+1)w= w^2+w<56

w^2+w+1/4<56.25

(w+1/2)^2 < (7.5)^2

w-1/2 <sqr56.25

w< -.5+7.5

w< 7

L< 8