A 116-cm board is cut into two pieces. If one piece is 40-cm shorter than the other, how long are the two pieces?
116cm - 40 = 76cm.
76cm/2 = 38cm.
length of 1st pieces = 38cm.
length of 2nd pieces = 38cm+40cm =78cm
To find the lengths of the two pieces, we can set up an equation based on the given information.
Let's assume that one piece of the board is x cm long. Since the other piece is 40 cm shorter, its length would be x - 40 cm.
According to the problem, the total length of the board is 116 cm. So we can write the equation:
x + (x - 40) = 116.
Simplifying the equation:
2x - 40 = 116.
Add 40 to both sides:
2x = 156.
Divide both sides by 2:
x = 78.
So one piece of the board is 78 cm long. The other piece, which is 40 cm shorter, would be:
78 - 40 = 38 cm.
Therefore, the two pieces are 78 cm and 38 cm long, respectively.