The area of this rectangle is 80ft^2. What is the length and width.

Width: X+16

Length: X

What is X for Width?

What is X for Length?

Area=LW

80=area

L=x+16

W=x

80 = (x+16) (x)

80=x^2+16x

minus 80

0=x^2+16x-80

factor

0 = (x-4) (x+20)

set to zero

x-4=0

x=4

x+20=0

x=-20, false since you can't have negative degrees (except in trig)

x=4

legnth=4+16=20 ft

width=4ft

x=4

legnth=20ft

width=4ft