A floor measures 10m by 5m is to be covered with flooring boards measuring 1m 20cm. How many flooring boards would be needed to cover this section.
1 meter by 0.2 meter boards?
area board = .2 m^2
area floor = 50 m^2
50/.2 = 500/2 = 250
To determine the number of flooring boards needed to cover the floor measuring 10m by 5m, we need to calculate the area of the floor and divide it by the area of each flooring board.
1. Begin by converting the measurements into the same unit. The floor measures 10m by 5m, so the dimensions are already in meters.
2. Calculate the area of the floor by multiplying the length and width: 10m x 5m = 50 square meters.
3. Next, convert the measurements of the flooring boards to meters. Each flooring board measures 1m 20cm, which is equivalent to 1.2m.
4. Calculate the area of each flooring board by multiplying the length and width: 1.2m x 1.2m = 1.44 square meters.
5. Finally, divide the total area of the floor by the area of each flooring board to find the number of boards needed: 50 square meters ÷ 1.44 square meters/board = 34.72.
Since we cannot have a fractional number of flooring boards, we would need to round up to the nearest whole number. Therefore, we would need 35 flooring boards to cover the floor measuring 10m by 5m.
To find out how many flooring boards are needed to cover the floor, we need to calculate the area of the floor and then determine how many boards will fit into that area.
1. Start by converting the dimensions of the floor from meters to centimeters. Since 1 meter is equal to 100 centimeters, the floor measures 1000 cm by 500 cm.
2. Convert the length of the flooring boards from meters and centimeters to centimeters. The boards measure 1 meter and 20 centimeters, which is equal to 120 centimeters.
3. Calculate the area of the floor by multiplying the length and width: 1000 cm × 500 cm = 500,000 square centimeters.
4. Determine how many boards fit into the floor area by dividing the floor area by the area of a single board. Since each board measures 120 cm × 120 cm = 14,400 square centimeters, the number of boards needed is 500,000 square centimeters ÷ 14,400 square centimeters ≈ 34.72.
Since we cannot have a fraction of a board, we would need to round up to the nearest whole number. Therefore, you would need 35 flooring boards to cover this section of the floor.