Question

A window is 150 cm wide and 90 cm high, what is the area of the window in square meters? Three times the area of the window is required for curtain material, How much material will be needed?

Answer 1

4.05 square meters

Explanation:

Given, the width of the window is 150 cm and the height of the window is 90 cm.

To find the area of the window in square meters, we convert the dimensions from centimeters to meters:

Width of the window in meters,
`\text{width} = \frac{150 \text{ cm}}{100 \text{ cm/m}} = 1.5 \text{ meters}`

Height of the window in meters,
`\text{height} = \frac{90 \text{ cm}}{100 \text{ cm/m}} = 0.9 \text{ meters}`

The area of the window is given by the formula:
`\text{Area} = \text{width} * \text{height}`

`\text{Area} = 1.5 \text{ meters} * 0.9 \text{ meters} = 1.35 \text{ square meters}`

Now, to find how much curtain material will be needed, we need three times the area of the window:

Three times the area of the window
`= 3 * 1.35 \text{ square meters} = 4.05 \text{ square meters}`

So, 4.05 square meters of curtain material will be needed.