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If perimeter of a square is same as the that of a rectangle whose length is 24 meter is double of the breadth, then area of square will be.

If perimeter of a square is same as the that of a rectangle whose length is 24 meter is double of the breadth, then area of square will be

The problem involves a rectangle and a square. The rectangle’s length is given as 24 meters, and its breadth is half of the length, which makes it 12 meters.

The perimeter of a rectangle is calculated by adding/summing up all its sides. Since a rectangle has two equal lengths and two equal breadths, its perimeter is given by the formula 2*(length + breadth). Substituting the given length and breadth values into this formula, we get 2*(24m + 12m) = 72 meters. This is the total distance around the rectangle.

Now, we know that the square has the same perimeter as the rectangle, which is 72 meters. A square has four equal sides, so each side of the square is the total perimeter divided by 4. This gives us 72m/4 = 18 meters for each side of the square.

The area of a square is calculated by squaring the length of one of its sides (since all sides of a square are equal). So, the area of this particular square is (18m)^2 = 324 square meters.

So, if a square has the same perimeter as a rectangle whose length is 24 meters and breadth is half of the length, the area of the square will be 324 square meters. I hope this explanation helps! Let me know if you have any other questions.

[or]

  1. The rectangle has a length of 24 meters and its breadth is half of the length, which means the breadth is 12 meters.
  2. The perimeter of the rectangle is 2*(length + breadth) = 2*(24m + 12m) = 72 meters.
  3. If the perimeter of the square is the same as the rectangle, then each side of the square is 72m/4 = 18 meters.
  4. The area of a square is side^2, so in this case it would be (18m)^2 = 324 square meters.

So, the area of the square will be 324 square meters.

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