Question

The area of a rectangle is 27 square feet. The length is 6 feet longer than the width.

Answer 1

The answer is 9 ft because if you subtract 6 from 9 you get 3 then when you multiply 9*3 you get 27 ft. I hoped this helped you!!

Answer 2

Hello :
x : the width      y : The length   y>x
xy = 27...(1)
y= x+6...(2)
subst in (1) : x(x+6) = 27
x² +6x -27 =0
Δ = 6²-4(1)(-27) =144= 12²
x1= (-6-12)/2 < 0  refused ( x>0 )
x2= (-6+12)/2 =3
in (2) : y = 3+6 = 9
The length is : 9 feet
the width  is : 3 feet