Using algebra it works out that the lengths are 8.4 feet and 33.6 feet because 4*(8.4) = 33.6 and 8.4+33.6 = 42 feet
3434/1818.However, a more reasonable expression is "A piece of wood board which is nearly two thirds of a mile long is so unlikely that I must have made a mistake in recording its length and so I had better do it again!"
With the board with the 3 ft edge towards you mark 1 ft from the right hand edge. 4 ft along the right hand edge mark in 1 ft. Join the 1 ft marks.Turn the board around so that the other 3 ft ends is towards you and repeat the markings.Now join the ends of the lines at the centre of the board (with should be 1 ft long).Now cut along the lines.Shift the right hand piece up and left so that the cut edge is on top of the 8 ft length to create a board almost* 12 ft by 2 ft:========================|...................................................................|..............................===================================|..................................===========|..................................|...................................................................|...............................||...............................|................................|...........==>...............|..................................============...............................||===========..................................|..................................|...............................|..................................................................||...................................................................|..................................===========================================================* If you use a saw to cut the board, you will lose some of the board into sawdust.
Assumption: 6 x 6 is using inches as the unit (half a foot) and a 4 foot board means 4 square feet of board. Each square foot of board can be cut into four half foot x half foot pieces. Therefore, the 4 foot board would be able to make 16 half foot x half foot (6 inch x 6 inch) blocks.
There is no way to do this with two pieces. You can do it with 4 (making each 3 by 2) The only way is by having three pieces.... note: The total area is the same so it has to be possible (24sf) 2 cuts total (3 pieces): STEPS>>> 1st: Cut the board into two pieces. Making one piece 8'x2 the other piece then is 8'x1'. 2nd: Cut the 8'x1' piece into half making two 4'x1' pieces. 3rd: Place the two 4'x1' pieces together to make it 4'x2'. 4th: Place the 8'x2' & new 4'x2' pieces together for your desired dimension, 12'x2'
Using algebra it works out that the lengths are 8.4 feet and 33.6 feet because 4*(8.4) = 33.6 and 8.4+33.6 = 42 feet
1 foot = 12 inches so 12 feet = 12*12 = 144 inches from which 14 10" pieces can be cut.
200 pieces.
3434/1818.However, a more reasonable expression is "A piece of wood board which is nearly two thirds of a mile long is so unlikely that I must have made a mistake in recording its length and so I had better do it again!"
With the board with the 3 ft edge towards you mark 1 ft from the right hand edge. 4 ft along the right hand edge mark in 1 ft. Join the 1 ft marks.Turn the board around so that the other 3 ft ends is towards you and repeat the markings.Now join the ends of the lines at the centre of the board (with should be 1 ft long).Now cut along the lines.Shift the right hand piece up and left so that the cut edge is on top of the 8 ft length to create a board almost* 12 ft by 2 ft:========================|...................................................................|..............................===================================|..................................===========|..................................|...................................................................|...............................||...............................|................................|...........==>...............|..................................============...............................||===========..................................|..................................|...............................|..................................................................||...................................................................|..................................===========================================================* If you use a saw to cut the board, you will lose some of the board into sawdust.
Assumption: 6 x 6 is using inches as the unit (half a foot) and a 4 foot board means 4 square feet of board. Each square foot of board can be cut into four half foot x half foot pieces. Therefore, the 4 foot board would be able to make 16 half foot x half foot (6 inch x 6 inch) blocks.
There is no way to do this with two pieces. You can do it with 4 (making each 3 by 2) The only way is by having three pieces.... note: The total area is the same so it has to be possible (24sf) 2 cuts total (3 pieces): STEPS>>> 1st: Cut the board into two pieces. Making one piece 8'x2 the other piece then is 8'x1'. 2nd: Cut the 8'x1' piece into half making two 4'x1' pieces. 3rd: Place the two 4'x1' pieces together to make it 4'x2'. 4th: Place the 8'x2' & new 4'x2' pieces together for your desired dimension, 12'x2'
Length of the longer piece is 5/9 of 27 feet. So, Length of longer piece = {5/(4+5)}x27 = {5/9}x27 = 15 feet.
There can be 5 pieces.
piece a has a greater length than piece b (a>b)
50" and 10" 60 = 5x + x = 6x; x = 10
well the answer is 16.