Multiple choice

Divide a line segment $8.8 cm$ long internally in the ratio $4 : 7$ and measure the two parts.

  1. 3.2cm and 5.6cm

  2. 3.0cm and 5.8cm

  3. 2.2cm and 6.6cm

  4. 4.2cm and 4.6cm
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A Correct answer
Explanation

Total length = 8.8 cm. Ratio 4:7. Sum of parts = 11. One unit = 8.8 / 11 = 0.8. First part = 4 * 0.8 = 3.2. Second part = 7 * 0.8 = 5.6.

AI explanation

To divide the line segment internally in the ratio 4:7, first add the ratio parts to get a total of 11 parts. For the first part, multiply the total length of 8.8 cm by 4/11, which equals 3.2 cm. For the second part, multiply 8.8 cm by 7/11, which equals 5.6 cm. The two measured parts are 3.2 cm and 5.6 cm.

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