A basketball coach wants to hang three plaques. The wall is 9 feet high and 11 feet wide. She wants to hang the three plaques side by side so that the group of plaques is centered horizontally with 6 inches of space between plaques, with the center of each plaque 5 feet from the floor. If each plaque is 14 inches tall and 20 inches wide, where should she place the top-left corner of the left-most plaque? (hint...Drawing a picture may help you solve this problem.)
Wednesday, April 16, 2008
POTW #24
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20 comments:
since the plaque is 5 ft from the ground and the height of the plaque is 14 inches then the top left corner must be 6ft 2 inches from the florr. but then u have to find the other confusing stuff (the length from the side)
First I would convert everything to inches because that's easier. Then I would either make or draw some kind of model. Like cut out paper models of the plaques and wall...Just a suggestion!
one should first divide the length of the floor in two. That is 60.5" then from there, go up 60". After that, to the left 36" this is the left border of the left plaque. Finally go up half the distance of the lighnth of the square (7") and that is the left corner.
You must make sure that you convert the length/width of the wall to feet because the plaque measurements are in inches!!!
So you know that The center of each plaque will be 5 feet from the ground, then thats actually 60 inches off the ground. The middle of the plaque is at 7 inches, so you know that there will be 7 inches between the center and the empty space. so 60-7 makes 53. That means there will be 53 inches of empty space at the bottom. add that to the 14 inches of plaque, that makes 67. subtract that from 108 (the height of the wall in inches) and you get 41 which is how much empty space there will be at the top of the wall.
Now, there will be six inches between each plaque (12 inches because there are two spaces) and 60 inches for the plaques. Subtract 72 inches from 132 (length in inches)and you get 30. divide that by two for the two sides and you see that there will be 30 inches on either side of the three plaques.
**you get 60
first like julie said you should start by converting all the feet into inches so five feet would be 60 inches so you know that the plaques are going to be 60 inches off the ground so now that you know that the center of the plague is going to be at 60 inches high the center to edge of the plaque would be 7 becuase the total height of the plaque is 14 so then so then you would add 7 to the the 60 inches and get 67 inches so you know that the top left corner would be 67 inches high and then i think that would be it unless the plaques can't be touching the wall's edge so if they can't you would find how far away it is from the wall's edge maybe?
I dont get the problem 100% but, what i get - first u need to convert the measurement so everything is the same and then align everything on a seperate sheet of paper by subtracting the 20 times 3 for length and the 14 times 3 for the height
yes u definetly need to convert the height and width of the wall to inches. The wall is 9 feet high and 14 feet long so it is 108 inches highand 168 inches wide. Then you should draw a picture of the wall and the plaques so that you can make all the measurements work.
If you make all the feet inches it is allot easier:
9ft-108"
so on and so on so you know that 5' is the middle of each plaque so you want to find the halfway point of the 14" plaques is 7. so 7" will be under 5' and 7" will be above 5'. then you would find the halfway point of the 132" wall which is 66" so the middle picture will be 66" over and 53" up. so you can find out where the left one is from there. it would be 53" up as well and 60" over.
You have to convert everything into inches. The height is now 108inches and width is 138 inches.
The plaques all must be 6 inches apart. When they are 60 inches from the bottom. therefore the left corner is 67 inches high and six inches away from the wall.
The pictures all have to be 60 inches up and goes half way through the plaque and the plaque is 14 inches. So, the left corner is 67, 60 inches half way through + 7 for the rest of the plague's height. therefore the answer is
67" high and 6" away from the wall
the center is 5 feet up which means 60 inches above the bottom plus seven to get to the top of the square.
then there are 20inches wide and 6 inches in between so 60 lus 12 means from the edge of one side to the edge of the other is 72 inches. then 11 feet is equal to 132 inches and 132 - 72 is 50 so there are 50 inches left and then 25 on each side. so the answer is 67"high 25" off the side
The center will be 6 feet 2 inches off the ground add seven because the center is only halff and you get that the plaque will be 6 feet 9 inches off the ground.
First you have to convert everything to inches to make it easier. the plaque is 60 inches plus 7 inches because then it will be all the way to the top. then you have to subtract that from the heaight of the wall to get how far away it is from the top and then see how for it is from the side.
Good comments.
Some of you are a little off.
hint...
Try to take your answer (use a diagram?) and add up all the measurements across the wall to see if you get the total inches across.
Then do the same thing from the bottom of the wall up to the top where the ceiling meets the wall and see if that totals 9 feet.
That will tell you if you are correct. (this will give you the justifying step of the process)
You need to convert the height and the width of the wall to inches to be able to do the measurments work
If you have to place the plaques 5 feet from the floor, that also means you have to place the plaques 4 feet from the top. Then you need find out how long the wall is and subtract how long each plaque is. Plus the space between the plaques. When you get that, you need to find how mush space is between the height of the wall and the plaques.
Try making the picture to scale for instance 1 foot= 1 centimeter
I think that first one must convert everything to inches. Then one should make a model. This would make the problem a lot more simple.
Yæ Mrs. Cooper
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