How many square metre of glass will be required for windows, which has 15 panes, each measuring 16 cm by 15 cm?

Options

A. `0.36 cm^(2)`
B. `360 cm^(2)`
C. `36 cm^(2)`
D. `3600 cm^(2)`

Answer

To find out how many square meters of glass will be required for the windows with 15 panes, each measuring 16 cm by 15 cm, we can follow these steps:

### Step 1: Calculate the area of one window pane.
The area of a rectangle is calculated using the formula:
\[ \text{Area} = \text{length} \times \text{width} \]
For one window pane:
- Length = 16 cm
- Width = 15 cm

Calculating the area:
\[ \text{Area of one pane} = 16 \, \text{cm} \times 15 \, \text{cm} = 240 \, \text{cm}^2 \]

### Step 2: Calculate the total area for 15 panes.
Now that we have the area of one pane, we can find the total area for 15 panes:
\[ \text{Total area} = \text{Area of one pane} \times \text{Number of panes} \]
\[ \text{Total area} = 240 \, \text{cm}^2 \times 15 = 3600 \, \text{cm}^2 \]

### Step 3: Convert the total area from cm² to m².
To convert square centimeters to square meters, we use the conversion factor:
\[ 1 \, \text{m} = 100 \, \text{cm} \implies 1 \, \text{m}^2 = 100 \times 100 \, \text{cm}^2 = 10000 \, \text{cm}^2 \]
Now, we convert 3600 cm² to m²:
\[ \text{Area in m}^2 = \frac{3600 \, \text{cm}^2}{10000} = 0.36 \, \text{m}^2 \]

### Final Answer:
The total area of glass required for the windows is **0.36 m²**.

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