SOLUTION: A poster is 24 cm taller than it is wide. If it is mounted on a piece of cardboard so that there is a 6cm boarder on all sides and if the area of the boarder is 720cmsquared What

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Question 1000286: A poster is 24 cm taller than it is wide. If it is mounted on a piece of cardboard so that there is a 6cm boarder on all sides and if the area of the boarder is 720cmsquared What are the dimensions of the poster
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39620)   (Show Source): You can put this solution on YOUR website!
Solution already posted for the IDENTICAL problem,
http://www.algebra.com/algebra/homework/word/geometry/Geometry_Word_Problems.faq.question.1000131.html

That might contain a mistake but the process shown should be clear enough, so study that one, and fix what you can.

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Using slightly different variables' assignments, here is a better solution:


t for how tall the poster, w for how wide the poster
x for uniform width of the border;
t=w+24
x=6
-
Total area is
Border Area is
STEPS









Substitute for the assigned x=6

Evaluate w,

------width of poster


-------how tall the poster

Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!
A poster is 24 cm taller than it is wide. If it is mounted on a piece of cardboard so that there is a 6cm boarder on all sides and if the area of the boarder is 720cmsquared What are the dimensions of the poster
With W being width of poster, equation to form is: Area of cardboard, less area of border, equals area of poster, OR

Solve this for the width, or W, to get: cm
Height of poster: 12 + 24, or cm
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