The piece of cloth required for a shirt is 2 m 85 cm. How much cloth will be required for 16 such shirts ?

Options

A. 46 m 60 cm
B. 45 m 66 cm
C. 45 m 50 cm
D. 45 m 60 cm

Answer

To find out how much cloth is required for 16 shirts, we start with the amount of cloth needed for one shirt, which is 2 meters 85 centimeters.

### Step 1: Convert the measurement into a single unit
First, we need to convert the measurement of cloth from meters and centimeters into centimeters for easier multiplication.

1 meter = 100 centimeters

So, 2 meters = 2 × 100 = 200 centimeters.

Now, we add the remaining centimeters:

200 cm + 85 cm = 285 cm.

### Step 2: Calculate the total cloth required for 16 shirts
Now that we have the total cloth required for one shirt in centimeters, we can calculate the total cloth required for 16 shirts.

Total cloth for 16 shirts = Cloth for one shirt × Number of shirts
Total cloth for 16 shirts = 285 cm × 16

### Step 3: Perform the multiplication
Now, we will multiply 285 by 16.

285 × 16 = 4560 cm.

### Step 4: Convert back to meters and centimeters
Finally, we convert the total cloth required back into meters and centimeters.

To convert 4560 cm back to meters:
1 meter = 100 centimeters, so we divide by 100.

4560 cm ÷ 100 = 45 meters with a remainder.

Now, we find the remainder:
4560 cm - (45 m × 100 cm/m) = 4560 cm - 4500 cm = 60 cm.

So, 4560 cm = 45 meters 60 centimeters.

### Final Answer
The total cloth required for 16 shirts is **45 meters 60 centimeters**.

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