Question

olivia is cutting a 33-foot piece of wood for a project. she cuts off 6 feet, and then cuts the remaining piece into 3 equal lengths of x feet each. label the tape diagram to represent this situation.

Explanation:

Step1: Label total length

The top box represents the total length of the wood, so we assign 33 to it.

Step2: Label first cut segment

The first bottom segment is the 6 feet cut off, so assign 6 to it.

Step3: Label equal segments

The next three bottom segments are the equal lengths of \(x\) feet each, so assign \(x\) to each of these three boxes.

Step4: Verify total sum

Check that \(6 + x + x + x = 33\), which matches the problem context.

Answer:

• Top box: 33
• First bottom box: 6
• Second bottom box: \(x\)
• Third bottom box: \(x\)
• Fourth bottom box: \(x\)