Final answer:
The problem requires cutting a 250 cm board into five pieces and solving an equation to determine the lengths of all pieces. Measurements are a critical aspect of the solution, which also includes understanding units and how to measure lengths larger than a meter stick.
Step-by-step explanation:
The question involves cutting a wood board that is 250 cm long into five pieces, with three pieces being of equal length and two pieces being 15 cm longer. To solve this, we need to apply basic mathematical operations and an understanding of measurements. To begin, let's denote the length of the three equal pieces as x. Since the other two pieces are each 15 cm longer, their lengths will be x + 15 cm. According to the problem, the sum of all these lengths must equal the total length of the board:
3x + 2(x + 15) = 250
Solving for x gives us the length of the three equal pieces. It also allows us to determine the lengths of the two longer pieces by adding 15 cm to x. By following these steps, we can ensure that all pieces cut will fit the initial length of 250 cm. For the provided references that mention measurements and unit conversions, such as converting meters to centimeters, a meter stick can measure lengths up to 100 cm. Therefore, to measure 200 cm, Juliana could use the meter stick twice in succession. This relates to the core skill of comparing measurements with different units.