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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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