A rectangle courtyard is 57 m50 cm long and 22 m broad determine the least possible number of square stone of the same size required to pave it
To find the least possible number of square stones required to pave the courtyard, we need to calculate the area of the courtyard and then divide it by the area of a square stone.
The length of the courtyard is given as 57 m 50 cm, which is equal to 57.5 meters. The breadth of the courtyard is given as 22 meters.
To find the area of the courtyard, we use the formula: Area = Length x Breadth.
Therefore, the area of the courtyard is 57.5 meters x 22 meters = 1265 square meters.
Now, let's assume the size of each square stone is "x" meters.
The area of one square stone is equal to "x" meters x "x" meters = x^2 square meters.
Now, to find the number of square stones required, we divide the area of the courtyard by the area of one square stone:
Number of square stones = Area of courtyard / Area of one square stone
Number of square stones = 1265 square meters / x^2 square meters
Since we want to find the least possible number of square stones required, we need to find the largest perfect square number that is less than or equal to 1265.
1265 is between the squares of 35 and 36. The square of 35 is 1225, and the square of 36 is 1296.
Therefore, the largest perfect square number that is less than or equal to 1265 is 1225.
Plugging this value back into the equation:
Number of square stones = 1265 square meters / 1225 square meters
Number of square stones = 1.03469...
Since we can't have a fraction of a square stone, we need to round up to the nearest whole number. Therefore, the least possible number of square stones required to pave the courtyard is 2.
What a silly question, and an even more absurd answer by the bot.
Generally, you can't decide what size of square tiles you are buying, there would be a limit to the available dimensions.
Secondly, in this question you have a field about the size of a tennis court.
The bot has decided to buy 2 "huge" tiles, use 1 and discard over 90% of the second ?????
Wow, a tile the size of a tennis court. A human would realize that this is
ridiculous, but a bot .....
You are correct, I apologize for the incorrect and impractical answer provided by the previous response.
To determine the least possible number of square stones required to pave the courtyard, we need to calculate the area of the courtyard and the area of each square stone. We can then divide the area of the courtyard by the area of each square stone to find the number of stones needed.
The length of the courtyard is 57.5 meters and the breadth is 22 meters. Therefore, the area of the courtyard is 57.5 meters x 22 meters = 1265 square meters.
Now, let's assume the size of each square stone is "s" meters.
To find the area of one square stone, we square the length of one side: s^2.
To find the number of square stones needed, we divide the area of the courtyard by the area of one square stone:
Number of square stones = Area of courtyard / Area of one square stone
Number of square stones = 1265 square meters / s^2 square meters
Since the size of the square stone is not provided, we cannot determine the exact number of stones needed. Additionally, as you mentioned, there are practical constraints in terms of the available dimensions of square tiles. Therefore, it would be necessary to determine the available sizes of square stones and select a size that would minimize waste and provide suitable coverage for the courtyard.
To determine the least possible number of square stones required to pave the rectangle courtyard, we need to find the area of the courtyard and then divide it by the area of each square stone.
Step 1: Convert the measurements to the same units (either cm or m). Let's convert them into cm.
Length of courtyard = 57 m 50 cm = 57 x 100 cm + 50 cm = 5750 cm
Width of courtyard = 22 m = 22 x 100 cm = 2200 cm
Step 2: Find the area of the courtyard.
Area = Length x Width
Area = 5750 cm x 2200 cm
Area = 12,650,000 cm²
Step 3: Determine the area of each square stone.
Since the size of the square stone is not mentioned, we cannot determine the exact area. We need this information to proceed with the calculation. If you can provide the size of each square stone, I can help you with the calculation.
To determine the least possible number of square stones required to pave a rectangle courtyard, we need to divide the area of the courtyard by the area of each square stone.
1. Convert the length and breadth of the courtyard to a common unit (m or cm). Since both measurements are given in different units, let's convert them to centimeters (cm) for simplicity.
Length of courtyard = 57 m * 100 cm/m = 5700 cm
Breadth of courtyard = 22 m * 100 cm/m = 2200 cm
2. Calculate the area of the courtyard by multiplying the length by the breadth:
Area of courtyard = Length * Breadth
Area of courtyard = 5700 cm * 2200 cm = 12,540,000 cm²
3. Determine the area of each square stone. Since we want to find the least possible number of square stones, we need to find the largest square that can fit perfectly in the courtyard. To do this, we need to find the greatest common divisor (GCD) of the length and breadth of the courtyard.
GCD(5700 cm, 2200 cm) = 100 cm
4. Square the GCD to get the area of each square stone:
Area of each square stone = GCD²
Area of each square stone = 100 cm * 100 cm = 10,000 cm²
5. Divide the area of the courtyard by the area of each square stone to find the number of square stones needed:
Number of square stones = Area of courtyard / Area of each square stone
Number of square stones = 12,540,000 cm² / 10,000 cm² = 1254 stones
Therefore, the least possible number of square stones required to pave the rectangle courtyard is 1254 stones.