The length of a rectangle is 27 centimeters less than five times its width. its area is 56 square centimeters. find the dimensions of the rectangle

A=LW

L is - 27+5w

L=5w-27

sub that for L

A = (5w-27) w

56=5w^2-27w

minus 56 both sides

0=5w^2-27w-56

factor

0 = (w-7) (5w+8)

set to zero

w-7=0

w=7

5w+8=0

5w=-8

w=-8/5

false, legnth cannot be neative

w=7

a=lw

56=l7

divide both sides by 7

8=l

it is 8cm by 7cm

legnth=8cm

width=7cm