<PRE><B>Question 905317</B>
let length of the card board be x
and the width of the card board be y

length of box = (x-4) ( 2 cut from each side)
width of box = (y-4)

height of box = 2 cm

volume of box = l*b*h

224 = (x-4)(y-4)*2
/2

112 = xy-4x-4y+16

96 = xy-4x-4y

2(x+y) = 60
x+y=30

96=xy-4(x+y)

96=xy-4*30
96=xy-120
216 =xy
x=216/y

Now x+y =30

216/y + y =30

multiply by y
216+y^2=30y

y^2-30y+216=0

y^2-18y-12y+216=0

y(y-18)-12(y-18)=0

(y-12)(y-18)=0

y= 12 OR 18

The dimensions of the cardboard are 18 by 12 cm




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