If a 70-cm cord is cut into two parts with a ratio of 3:4, what is the length of the longer part?

If a 70-cm cord is cut into two parts with a ratio of 3:4, what is the length of the longer part?

• A. 20 cm
• B. 30 cm
• C. 40 cm
• D. 50 cm

Answer: (C)

To determine the length of the longer part when a 70-cm cord is cut into two parts with a ratio of 3:4, it’s essential to understand how ratios work in this context. In a ratio of 3:4, the two parts can be represented as 3x and 4x, where x is a common factor. To find the total parts represented by the ratio, you add the parts together: 3 + 4 = 7 parts in total. Next, since the total length of the cord is 70 cm, you can set up the equation: 3x + 4x = 70. This simplifies to: 7x = 70. To find the value of x, divide both sides by 7: x = 10. Now, you can determine the lengths of the two parts. The shorter part, represented by 3x, would be: 3 * 10 = 30 cm. The longer part, represented by 4x, would thus be: 4 * 10 = 40 cm. Hence, the length of the longer part is indeed 40 cm. This confirms that the option indicating 40 cm is the correct length for the longer segment when

To determine the length of the longer part when a 70-cm cord is cut into two parts with a ratio of 3:4, it’s essential to understand how ratios work in this context.

In a ratio of 3:4, the two parts can be represented as 3x and 4x, where x is a common factor. To find the total parts represented by the ratio, you add the parts together:

3 + 4 = 7 parts in total.

Next, since the total length of the cord is 70 cm, you can set up the equation:

3x + 4x = 70.

This simplifies to:

7x = 70.

To find the value of x, divide both sides by 7:

x = 10.

Now, you can determine the lengths of the two parts. The shorter part, represented by 3x, would be:

3 * 10 = 30 cm.

The longer part, represented by 4x, would thus be:

4 * 10 = 40 cm.

Hence, the length of the longer part is indeed 40 cm. This confirms that the option indicating 40 cm is the correct length for the longer segment when