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Perimeter of a rectangle and a square are equal. If perimeter of the rectangle is 72 cm, find the area of the square.
- a)324cm2
- b)518cm2
- c)424cm2
- d)508cm2
- e)None of these
Correct answer is option 'A'. Can you explain this answer?
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Perimeter of a rectangle and a square are equal. If perimeter of the r...
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Perimeter of a rectangle and a square are equal. If perimeter of the r...
Perimeter of rectangle and square are same
formula of square is ÷ 4 so
= perimeter = 72 cm
area of square = 72 ÷ 4 = 18
= 18 × 18 = 324
= 324 cm2
So, the answer is A
formula of square is ÷ 4 so
= perimeter = 72 cm
area of square = 72 ÷ 4 = 18
= 18 × 18 = 324
= 324 cm2
So, the answer is A
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Perimeter of a rectangle and a square are equal. If perimeter of the r...
Perimeter is the distance around the outside of a shape. It is calculated by adding up all the lengths of the sides of the shape. In the case of a rectangle, the perimeter is calculated by adding the lengths of all four sides.
The given problem states that the perimeter of a rectangle is 72 cm. Let's assume the length of the rectangle is L and the width is W. The formula for calculating the perimeter of a rectangle is:
Perimeter = 2L + 2W
Since the perimeter of the rectangle is given as 72 cm, we can substitute this value into the equation:
72 = 2L + 2W
Simplifying the equation, we have:
36 = L + W
We know that the perimeter of a square is calculated by adding up all four sides, just like a rectangle. However, in a square, all four sides are equal in length. Let's assume the side length of the square is S. The formula for calculating the perimeter of a square is:
Perimeter = 4S
Since the perimeter of the square is equal to the perimeter of the rectangle (which is 72 cm), we can set up the equation:
4S = 72
Now we solve for S by dividing both sides of the equation by 4:
S = 72 / 4
S = 18
So, the side length of the square is 18 cm.
To find the area of the square, we use the formula:
Area = side length * side length
Substituting the value of S into the formula, we have:
Area = 18 * 18
Area = 324
Therefore, the area of the square is 324 square cm.
The given problem states that the perimeter of a rectangle is 72 cm. Let's assume the length of the rectangle is L and the width is W. The formula for calculating the perimeter of a rectangle is:
Perimeter = 2L + 2W
Since the perimeter of the rectangle is given as 72 cm, we can substitute this value into the equation:
72 = 2L + 2W
Simplifying the equation, we have:
36 = L + W
We know that the perimeter of a square is calculated by adding up all four sides, just like a rectangle. However, in a square, all four sides are equal in length. Let's assume the side length of the square is S. The formula for calculating the perimeter of a square is:
Perimeter = 4S
Since the perimeter of the square is equal to the perimeter of the rectangle (which is 72 cm), we can set up the equation:
4S = 72
Now we solve for S by dividing both sides of the equation by 4:
S = 72 / 4
S = 18
So, the side length of the square is 18 cm.
To find the area of the square, we use the formula:
Area = side length * side length
Substituting the value of S into the formula, we have:
Area = 18 * 18
Area = 324
Therefore, the area of the square is 324 square cm.
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Perimeter of a rectangle and a square are equal. If perimeter of the rectangle is 72 cm, find the area of the square.a)324cm2b)518cm2c)424cm2d)508cm2e)None of theseCorrect answer is option 'A'. Can you explain this answer? for Class 5 2025 is part of Class 5 preparation. The Question and answers have been prepared according to the Class 5 exam syllabus. Information about Perimeter of a rectangle and a square are equal. If perimeter of the rectangle is 72 cm, find the area of the square.a)324cm2b)518cm2c)424cm2d)508cm2e)None of theseCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 5 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Perimeter of a rectangle and a square are equal. If perimeter of the rectangle is 72 cm, find the area of the square.a)324cm2b)518cm2c)424cm2d)508cm2e)None of theseCorrect answer is option 'A'. Can you explain this answer?.
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