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Perimeter of a square is equal to the perimeter of the rectangle. If length and breadth of the rectangle is 24 cm and 20 respectively. Find the area of the square.
- a)484cm2
- b)490cm2
- c)516cm2
- d)520cm2
- e)None of these
Correct answer is option 'A'. Can you explain this answer?
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Perimeter of a square is equal to the perimeter of the rectangle. If l...
Perimeter of a Square:
The perimeter of a square is the sum of all its sides. Since a square has all its sides equal in length, we can calculate the perimeter by multiplying the length of one side by 4.
Perimeter of a Rectangle:
The perimeter of a rectangle is the sum of all its sides. In this case, we are given the length and breadth (width) of the rectangle. To calculate the perimeter, we multiply the sum of the length and width by 2.
Given Information:
Perimeter of the square = Perimeter of the rectangle
Length of the rectangle = 24 cm
Breadth of the rectangle = 20 cm
Calculating the Perimeter of the Square:
Let's assume the length of one side of the square is 'x' cm.
Perimeter of the square = 4 * x
Calculating the Perimeter of the Rectangle:
Perimeter of the rectangle = 2 * (length + breadth)
Perimeter of the rectangle = 2 * (24 + 20)
Perimeter of the rectangle = 2 * 44
Perimeter of the rectangle = 88 cm
Equating the Perimeters:
4 * x = 88
x = 88 / 4
x = 22 cm
Finding the Area of the Square:
The area of a square is equal to the square of the length of one of its sides. Therefore, the area of the square can be calculated by squaring the length of one side.
Area of the square = x^2
Area of the square = 22^2
Area of the square = 484 cm^2
Therefore, the area of the square is 484 cm^2, which matches with option A.
The perimeter of a square is the sum of all its sides. Since a square has all its sides equal in length, we can calculate the perimeter by multiplying the length of one side by 4.
Perimeter of a Rectangle:
The perimeter of a rectangle is the sum of all its sides. In this case, we are given the length and breadth (width) of the rectangle. To calculate the perimeter, we multiply the sum of the length and width by 2.
Given Information:
Perimeter of the square = Perimeter of the rectangle
Length of the rectangle = 24 cm
Breadth of the rectangle = 20 cm
Calculating the Perimeter of the Square:
Let's assume the length of one side of the square is 'x' cm.
Perimeter of the square = 4 * x
Calculating the Perimeter of the Rectangle:
Perimeter of the rectangle = 2 * (length + breadth)
Perimeter of the rectangle = 2 * (24 + 20)
Perimeter of the rectangle = 2 * 44
Perimeter of the rectangle = 88 cm
Equating the Perimeters:
4 * x = 88
x = 88 / 4
x = 22 cm
Finding the Area of the Square:
The area of a square is equal to the square of the length of one of its sides. Therefore, the area of the square can be calculated by squaring the length of one side.
Area of the square = x^2
Area of the square = 22^2
Area of the square = 484 cm^2
Therefore, the area of the square is 484 cm^2, which matches with option A.
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Perimeter of a square is equal to the perimeter of the rectangle. If l...
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Perimeter of a square is equal to the perimeter of the rectangle. If length and breadth of the rectangle is 24 cm and 20 respectively. Find the area of the square.a)484cm2b)490cm2c)516cm2d)520cm2e)None of theseCorrect answer is option 'A'. Can you explain this answer?
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