Calculation of the Area of the Room

To determine the amount of carpet needed to cover the floor of the room, we first need to calculate the area of the room. The area of a rectangular room can be found by multiplying the length of the room by its width.

Given:
Length of the room = 7m
Width of the room = 4m 25cm

To calculate the area, we need to convert the width measurement to meters.

Conversion of Width to Meters

1 meter (m) is equal to 100 centimeters (cm). Therefore, to convert centimeters to meters, we divide the number of centimeters by 100.

Width in centimeters = 4m 25cm
= 4 meters + 25 centimeters
= 4 meters + (25/100) meters
= 4 meters + 0.25 meters
= 4.25 meters

Now we have the width of the room in meters as well.

Calculating the Area

The area of the room can be calculated by multiplying the length and width of the room.

Area of the room = Length × Width
= 7m × 4.25m
= 29.75 square meters

Therefore, to cover the entire floor of the room, we would need approximately 29.75 square meters of carpet.

Summary

To calculate the amount of carpet needed to cover the floor of a room, we first need to find the area of the room by multiplying its length and width. In this case, the room is 7 meters long and 4 meters 25 centimeters wide. We converted the width to meters by dividing the centimeters by 100. The area of the room is then found by multiplying the length and width in meters. The calculated area is 29.75 square meters, which represents the amount of carpet needed to cover the floor of the room.