Question 1137029: Two sides of a garden bed are to be lined with logs. Three logs are needed for each side but 1 meter is cut off the third lotto make sure that the log doesn’t extend beyond the garden. The width of the garden is 3 meters and it’s area is 42 meters squared. How long is a whole log? (Hint: let x be the length of a whole log)
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! the area of the garden is 42 square meters.
the width is 3 meters.
the length is 42 / 3 = 14 meters.
the 3 logs total measurements will be 1 meter more than 14 = 15 meters.
divide 15 meters by 3 and you get 5 meters per log.
you will lay 3 logs on each side along the length of the garden.
the total measurement of the 3 logs is 15 meters.
you cut off 1 meter from the third log on each side and the total measurement is now 14 meters which just fits.
to use x in this problem, you would do the following.
x is the length of one log.
there will be 3 logs on each side of the length whose total length will be 1 meter more than required.
therefore you get 3x = L + 1.
solve for L to get L = 3x - 1.
the area of the garden is equal to L * W, where L is the lenth and W is the width and A is the area.
since the area is 42 and the width is 3, then A = L * W becomes 42 = L * 3.
solve for L to get L = 42 / 3 = 14.
since L = 3x - 1, you get 3x - 1 = 14.
add 1 to both sides of this equation to get 3x = 15.
solve for x to get x = 5.
the length of a whole log is equal to x which is equal to 5.
that's your solution.
|
|
|
