A piece of wire was cut in the ratio 4:7 . The longer piece was 42 cm . Find the length of the shorter piece. Use RDW to solve . Use RDW strategy to solve .
long piece is 6*7
other piece is 6*4
Maybe you can massage that into RDW.
A piece of wire cut into two pieces in the ratio 5:9.The shorter piece was 25cm.Find the length of the longer piece
To find the length of the shorter piece of wire, we can use the Ratio-Definition-Word (RDW) strategy to solve the problem.
1. Ratio: The wire was cut in the ratio 4:7, which means that for every 4 units of length, there are 7 units of length. This is the ratio between the shorter piece and the longer piece.
2. Definition: We are given that the longer piece of wire is 42 cm. Let's use this information to find the length of the shorter piece.
3. Word: We need to determine the length of the shorter piece.
- Let's assign a variable to represent the length of the shorter piece. Let's call it "x".
- Since the ratio is 4:7, we can set up the following equation: (4/7) = x/42. We set up a proportion by equating the ratio of the lengths to the ratio of the corresponding parts.
- Cross-multiplying, we get 4 * 42 = 7 * x.
- Simplifying, we have 168 = 7x.
- Dividing both sides by 7, we get x = 168/7 = 24.
Therefore, the length of the shorter piece of wire is 24 cm.