Multiple choice

The line $AD$ is divided in the ratio of $AB\colon\,BC\colon\,CD=1\colon3\colon4$. If $AB=0.8:cm$, calculate the length of $AD$.

  1. $3.5\:cm$
  2. $\;6.4\:cm$
  3. $\;5.89\:cm$
  4. $\;6.5\:cm$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Ratio AB:BC:CD = 1:3:4. AB = 0.8 cm. Since 1 unit = 0.8 cm, the total length AD = 1+3+4 = 8 units. AD = 8 * 0.8 = 6.4 cm.

AI explanation

Given the ratio AB : BC : CD = 1 : 3 : 4 and AB = 0.8 cm, the value of one ratio part is 0.8 cm. The total length of AD is the sum of the ratio parts (1 + 3 + 4 = 8). Multiplying the 8 parts by the value of one part gives AD = 8 times 0.8 cm, which equals 6.4 cm.