the height of a photograph is 40 cm greater than the width, and the area of the photograph is 896cm^2. what is the height of the photograph?

Question

the height of a photograph is 40 cm greater than the width, and the area of the photograph is 896cm^2. what is the height of the photograph?

Answer 1

w=width

w+40=height

896=w(w+40)

896=w^2+40w

w^2+40w-896=0

896=2*2*2*2*2*2*2*7=(2*2*2*2)*(2*2*2*7)=16*56and 56-16=40

factor

(w+56)(w-16)=0

w-16=0

w=16

w+40=56

the height is 56 cm