Question

Tina had $20m5cm$ long cloth. She cuts $4m50cm$ length of cloth from this for making a curtain. How much cloth is left with her?

Answer 1

Step 1: Converting the unit of length of cloth into $\text{meter}$

Length of the cloth$=$$20m5cm$

$=20m+\left(\frac{1}{100}\times 5\right)m$ $\left(\because 1cm=\frac{1}{100}m\right)$

$=20m+\frac{5}{100}m$

$=\left(\frac{2000+5}{100}\right)m$

$=\left(\frac{2005}{100}\right)m$

$=20.05m$

Length of the cloth used for curtain$=$$4m50cm$

$=4m+\left(\frac{1}{100}\times 50\right)m$ $\left(\because 1cm=\frac{1}{100}m\right)$

$=4m+\left(\frac{50}{100}\right)m$

$=\left(\frac{400+50}{100}\right)m$

$=\left(\frac{450}{100}\right)m$

$=4.50m$

Step 2: Finding the length of left out cloth.

We know that length of the cloth is $=20.05m$

And, length of the cloth used for curtain$=4.50m$

So, leftover cloth

$=$Length of the cloth $-$ length of the cloth used for curtain

$=20.05m$$-$$4.50m$

$=15.55m$

Hence, $\text{15.55 meter}$ cloth is left with Tina.