Posted by jason on Wednesday, November 29, 2006 at 1:57pm.
a poster is 25cm taller than it is wide. it is mounted on a piece of cardboard so that there is a 5cm border on all sides. if the area of the border alone 1350cm^2, what are the dimensions of the poster?
It is almost a must to draw a diagram but I can't do that on the computer. It will help you to do so.
height of inside poster = w+25
width of inside poster = w
area of inside poster =w*(w+25)
Border is 5 cm on each side; therefore, its height is w+25+top5cm+bottom 5cm=w+35
Border width = w + left 5 cm + right 5 cm = w + 10 cm.
area of entire unit is (w+35)*(w+10)
area of inside poster is w*(w+25)
The border is 1350 cm2
. Set this into an equation.
area entire unit-1350=area inside unit.
(w+35)*(w+10)-1350 = w(w+25)
Solve for w, which is the width of the inside poster. Add 25 to that to obtain the height. Then add 10 to each to obtain the dimensions of the entire frame. Post your work if you get stuck.
Answer this Question
Algebra - a poster is 24 cm taller than it is wide. it if is mounted on a piece ...
math - A rectangular poster has an area of 190in(squared). The height of the ...
Math - Samual is 5 in , taller than Jackie - 8 shelly is 0.7 in taller than ...
Grammar - Which sentence is correct? 1. Donna is taller than I. 2. Donna is ...
religious education - i need to design and create a tourist poster for ...
math - 1)tammy is making a poster. she had planned the poster to be 36 inches ...
English - 1. You will be taller than her in a couple of years. 2. You will be ...
please explain poster thx - i found this propaganda poster can you explain it on...
math - The feet of two building of height 30miter amd 70meter are on the same ...
English - 1. Remember, the most important thing about you doesn't change. 2. ...