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 ...
geometry - a poster art exhibition is to display a square picture with a white ...
math - a rectangular vegetable bed 10m long and 6m wide is edged on four sides ...
maths - my exams are starting from next week i am facing so much problems in ...
math - A rectangular flower garden is surrounded by a grass border. the grass ...
maths - 1. You are cutting colored cardboard rectangles for school art show. ...
math - 1. Mrs. Macdonald wants to put a uniform border of tulips around the ...
math -trig - a concrete border is to be built around a traingular flower garden ...
math-trig - a concrete border is to be built around a traingular flower garden ...
Math - At a park, a landscaper wishes to plant a uniform border of tulips around...