SOLUTION: A poster with a total area of 500 sq inch must have a 2 inch margin at the sides and at the bottom and a 4 inch margin at the top. If x is the length of the bottom of the poster, e

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Question 1041663: A poster with a total area of 500 sq inch must have a 2 inch margin at the sides and at the bottom and a 4 inch margin at the top. If x is the length of the bottom of the poster, express the area of the printed matter in terms of x.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
I think you mean that x is the width of the poster.
Let y be the length of the poster.
So the total area of the poster would be,
A=xy
xy=500
y=500%2Fx
With the two inch margin, the printed width becomes,
x%5Bp%5D=x-2-2=x-4
The printed length becomes,
y%5Bp%5D=y-2-4=y-6
So the printed area would be,
A%5Bp%5D=x%5Bp%5D%2Ay%5Bp%5D
A%5Bp%5D=%28x-4%29%28y-6%29
Substituting,
A%5Bp%5D=%28x-4%29%28500%2Fx-6%29