Question

Hansen is building a wooden birdhouse for his mom. He finds a plank in the garage to use for the base. When he realizes it's too long, Hansen cuts 2 inches off the plank. Now it's the correct length of 9.75 inches.

Answer 1

The question pertains to comparing measurements using different units and solving problems related to scale models in mathematics, typically at a middle school level.

Step-by-step explanation:

The question involves understanding how to compare measurements using different units and solving scale model problems. When comparing measurements with different units, such as the example of Juliana with the meter stick and a requirement of 200 cm, it's crucial to recognize that 1 meter equals 100 centimeters. Therefore, to measure 200 cm using the meter stick, Juliana could mark the stick at 100 cm and then measure that length twice or mark the stick at the halfway point to measure 200 cm directly if the stick allows for it.

• To solve the birdhouse base problem, we must add the cut piece back to the final length to discover the original size of the plank. If 2 inches were cut off from the plank to make it 9.75 inches, the original length was 11.75 inches.
• Similarly, to solve the other scale factor and measurement problems, one has to apply the scale factor to the actual size to get the representation in the scale model or drawing.