Question

Draw a line segment of length 7.6cm and divide it in the ratio $5:8$ . Measure the two parts .

Answer 1

Hint-Proceed by drawing a line a line of 7.6 cm . Further use the ratios to find the length of each part and divide the drawn line into those lengths . To convert the ratios into length add them and divide the total length with their sum . Then multiply with their respective ratios to find both parts of the line .

Complete step-by-step answer:
Draw a line AB = 7.6 cm

Draw a line AB = 7.6 cm
Now finding the lengths of both parts which we have to divide using respective ratios ,
Let both parts be 5x and 8x .
Now 5x + 8x = 7.6cm (total length)
$\begin{gathered}
   \Rightarrow 13x = 7.6cm \\
   \Rightarrow x = \dfrac{{7.6}}{{13}}cm \\
\end{gathered} $
Now the length of first part = 5 x = $5 \times \dfrac{{7.6}}{{13}} = 2.92cm{\text{ }}\left( {{\text{taking values till 2 decimal places }}} \right)$
Length of second part = 8 x = $8 \times \dfrac{{7.6}}{{13}} = 4.68cm$
Measure and plot both parts respectively .
Note-In these types of questions it is important to recall the concept of finding the length using the ratios given in the question . Note that the length found out is not precise but rounded off to two decimal places . It happened because the value of x didn’t have a terminating value . It is a good idea to round off digits in such particular problems to avoid confusion .