SOLUTION: A page with length 3 cm longer than its width has 80 cm^2 of printed area. The margins at the top and bottom are each 3/2 cm and the side margins are each 1 cm. Find the dimensions

Question 983408: A page with length 3 cm longer than its width has 80 cm^2 of printed area. The margins at the top and bottom are each 3/2 cm and the side margins are each 1 cm. Find the dimensions of the page.
Found 2 solutions by mananth, josgarithmetic:
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
let width of page be x
length of page = (x+3)
width of painted area = (x-2) cm
length of printed area = (x+3)-3 = x
x(x-2) = printed area
x^2-2x = 80
x^2=10x+8x=80
x^2-10x+8x-80=0
x(x-10)+8(x-10)=0
(x+8)(x-10)=0
x= -8 OR 10 ( ignore negative)
width of page = 10cm
length of page = 13 cm

Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
w for width
L for length

Length of printing,
Width of printing,

Printed Area,
Substitute for L.

-----not seem factorable.

Discriminant:

Only the PLUS form can be accepted.

Find L from this value for w.

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