Sure! Let's break down the problem step-by-step and find the length of each of the equal pieces.
1. Initial Length of the Robe:
The initial length of the robe is \( 10 \) meters.
2. Length of the Piece Cut Off:
A piece of \( 1 \) meter and \( 20 \) centimeters is cut off.
To make calculations easier, we need to convert the centimeters into meters.
Since \( 1 \) meter is equal to \( 100 \) centimeters, \( 20 \) centimeters is equal to \( 0.2 \) meters.
Therefore, \( 1 \) meter and \( 20 \) centimeters is equal to \( 1 + 0.2 = 1.2 \) meters.
3. Remaining Length of the Robe:
After cutting off the \( 1.2 \) meters piece, the remaining length of the robe is calculated as:
[tex]\[
10 \text{ meters} - 1.2 \text{ meters} = 8.8 \text{ meters}
\][/tex]
4. Dividing the Remaining Length into 16 Equal Parts:
The remaining \( 8.8 \) meters of the robe are to be divided into 16 equal parts.
To find the length of each part, we divide the remaining length by the number of parts:
[tex]\[
\frac{8.8 \text{ meters}}{16} = 0.55 \text{ meters}
\][/tex]
Therefore, each of the 16 equal pieces has a length of [tex]\( 0.55 \)[/tex] meters.
