SOLUTION: A poster is 25 cm taller than it is wider. It's mounted on a piece of cardboard so that there is a 5 cm border on all sides. If the area of the border alone is 1350cm^2 what are th
Algebra.Com
Question 97795This question is from textbook Algebra Structure and Method
: A poster is 25 cm taller than it is wider. It's mounted on a piece of cardboard so that there is a 5 cm border on all sides. If the area of the border alone is 1350cm^2 what are the dimensions of the poster?
This question is from textbook Algebra Structure and Method
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A poster is 25 cm taller than it is wider. It's mounted on a piece of cardboard so that there is a 5 cm border on all sides. If the area of the border alone is 1350cm^2 what are the dimensions of the poster?
:
Let x = width of the poster
then
(x+25) = length of the poster
:
Area of the poster:
x(x+25) = x^2 + + 25x
:
Dimensions of the card board
Width = x + 2(5) = (x+10
Length = x+25 + 2(5) = (x+35)
:
Area of cardboard:
(x+35)(x+10) = 0
x^2 + 45x + 350
:
Cardboard area - poster area = border area
x^2 + 45x + 350 - (x^2 + 25x) = 1350
x^2 - x^2 + 45x - 25x + 350 = 1350
20x + 350 = 1350
20x = 1350 - 350
20x = 1000
x = 1000/20
x = 50 cm is the width of the poster
:
50 + 25 = 75 cm is the length of the poster
:
:
Check using the areas:
(85*60) - (75*50) =
5100 - 3750 = 1350 (the given border area}
RELATED QUESTIONS
a poster is 25 cm taller than it is wide. it is mounted on a piece of cardboard so that... (answered by ankor@dixie-net.com)
Question: A poster is 25 cm taller than it is wide.It is mounted on a piece of cardboard... (answered by Mathtut)
A poster is 25 cm taller than it is wide. It is mounted on a piece of cardboard so that... (answered by Greenfinch)
what is the step by step solution to "A poster is 25 cm taller than it is wide. It is... (answered by josmiceli)
A piece of cardboard is 25 cm taller than it is wide. It is mounted on a wall so that... (answered by josgarithmetic)
A poster is 25 cm taller than its width. It is mounted on a piece of particle board so... (answered by ankor@dixie-net.com)
a poaster is 25 cm taller than it is wide. It is mounted on a piece of cardboard so that... (answered by mananth)
i don't understand how to do this? can you please help? here is the problem:
a poster... (answered by nerdybill)
A poster is 24 cm taller than it is wide. If it is mounted on a piece of cardboard so... (answered by josgarithmetic,MathTherapy)