Question

A 60 cm board is cut into two pieces. One piece is 27 cm shorter than the other piece. Find the length of the longer piece.

a. 60 = s + (l - 27)
b. 60 = l + (l - 27)
c. 60 = l + s
d. None

Answer 1

The length of the longer piece is 43.5 cm.

Step-by-step explanation:

To find the length of the longer piece, we can set up an equation based on the given information. Let the length of the longer piece be 'l' and the length of the shorter piece be 's'. Given that 's' is 27 cm shorter than 'l', we can write the equation as: l = s + 27. Since the total length of the board is 60 cm, we can write another equation as: l + s = 60. Solving these two equations simultaneously will give us the length of the longer piece.

Substituting the value of 'l' from the first equation into the second equation, we get: s + 27 + s = 60. Simplifying this equation, we get: 2s + 27 = 60. Subtracting 27 from both sides, we get: 2s = 33. Dividing both sides by 2, we get: s = 16.5.

Finally, substituting the value of 's' into the first equation, we get: l = 16.5 + 27 = 43.5. Therefore, the length of the longer piece is 43.5 cm.