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 a

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Question 1000131: 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(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Disgarded previously posted solution, and replacing with this one:

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 %28t%2B2x%29%2A%28w%2B2x%29
Border Area is %28t%2B2x%29%28w%2B2x%29-tw=720
STEPS
tw%2B2xw%2B2xt%2B4x%5E2-tw=720
2xw%2B2xt%2B4x%5E2-720=0
xw%2Bxt%2B2x%5E2-360=0
xw%2Bx%28w%2B24%29%2B2x%5E2-360=0
xw%2Bxw%2B2%2A24%2B2x%5E2-360=0
2xw%2B2%2A24%2B2x%5E2-360=0
xw%2B24%2Bx%5E2-360=0
xw=360-24-x%5E2
w=%28360-24-x%5E2%29%2Fx
Substitute for the assigned x=6
w=%28360-24-36%29%2F6
Evaluate w,
w=60-4-6
highlight%28w=50%29------width of poster

t=50%2B24
highlight%28t=74%29-------how tall the poster

Answer by MathTherapy(10552) About Me  (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
Dimensions of poster: highlight_green%2812cm_by_36cm%29