A rectangular courtyard is 57m and50cm long and 22m broad determine the least possible number of square stones of the same size required to pave it
In terms of cm,
57m 50cm = 5750cm
22m = 2200cm
The greatest common factor can be found using
5750 = 2 * 5^3 * 23
2200 = 2^3 * 5^2 * 11
So, the GCF is 2*5^2 = 50
Using 50cm stones, the courtyard is 115x44 = 5060 stones
Why did the rectangular courtyard bring a measuring tape to the party? Because it wanted to measure up to all the square stones and see who's the biggest!
To find the least possible number of square stones required to pave the courtyard, we need to first convert the measurements to the same units. So, 57m and 50cm becomes 57.5m long and 22m wide.
Now, let's find the area of the courtyard:
Area = length × width
Area = 57.5m × 22m
Area = 1265 square meters
To find the area of a single square stone, we need to know the size of the stone. The problem doesn't provide that information, so I can't give you an exact answer. But we do know that you need enough square stones to cover an area of 1265 square meters.
So, the least possible number of square stones required will depend on the size of the stones you choose. You might need a few extra stones just in case, so don't forget to factor in a little cushion for error. Happy paving!
To find the least possible number of square stones required to pave the rectangular courtyard, we need to find the area of the courtyard and divide it by the area of each square stone.
Step 1: Convert the dimensions of the courtyard to meters
57m and 50cm can be converted to 57.50m.
22m remains the same.
Step 2: Calculate the area of the courtyard
Area = length x breadth
Area = 57.50m x 22m
Area = 1265m²
Step 3: Determine the size of each square stone
Since we don't have information about the size of the square stone, we cannot calculate the exact number of stones. However, we can assume a size for the stones and calculate based on that.
Step 4: Calculate the area of each square stone
Let's assume a size of 1m x 1m for each square stone.
Area of each stone = length x breadth
Area of each stone = 1m x 1m
Area of each stone = 1m²
Step 5: Calculate the number of stones required
Number of stones = (Area of courtyard) / (Area of each stone)
Number of stones = 1265m² / 1m²
Number of stones = 1265
Therefore, at least 1265 square stones of the same size are required to pave the rectangular courtyard.
To determine the least possible number of square stones required to pave the rectangular courtyard, we need to calculate the area of the courtyard and divide it by the area of each square stone.
First, let's convert the measurements to a consistent unit. We'll convert the length from meters and centimeters to centimeters.
The length of the courtyard is 57m and 50cm, which is equivalent to (57 * 100) + 50 = 5750 cm.
The breadth of the courtyard is 22m, which is equivalent to 22 * 100 = 2200 cm.
Next, we calculate the area of the courtyard by multiplying the length and breadth: 5750 cm * 2200 cm = 12,650,000 cm².
Now, let's assume that each square stone has an area of x cm².
To find the least possible number of square stones required, we divide the area of the courtyard by the area of each square stone:
12,650,000 cm² / x cm² = Least possible number of square stones.
Unfortunately, the question does not provide the size of each square stone, so we cannot determine the least possible number of square stones required without this information.