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Find the area of square of side 4 cm. If the side square. Find the area of rectangle of length / and breadth b. If length is doubled and breadth is halved find the area of the new rectangle formed . Are the two areas equal? and by how much??
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Find the area of square of side 4 cm. If the side square. Find the are...
Finding the Area of a Square
To find the area of a square, you use the formula:
Area = side × side.
Given that the side of the square is 4 cm:
- Area = 4 cm × 4 cm
- Area = 16 cm².
The area of the square is 16 cm².
Finding the Area of a Rectangle
For a rectangle, the area is calculated using the formula:
Area = length × breadth.
Let the length be 'l' and the breadth be 'b':
- Area = l × b.
New Rectangle Dimensions
If the length is doubled and the breadth is halved, the new dimensions become:
- New Length = 2l
- New Breadth = b/2.
The area of the new rectangle is:
- New Area = New Length × New Breadth
- New Area = (2l) × (b/2)
- New Area = l × b.
Comparison of Areas
Now, compare the areas of the original rectangle and the new rectangle:
- Original Area = l × b
- New Area = l × b.
Both areas are equal.
Conclusion
- The area of the original rectangle and the new rectangle is the same.
- There is no difference in the area; hence the difference is 0 cm².
In summary, when you manipulate the dimensions of a rectangle by doubling the length and halving the breadth, the area remains unchanged.
To find the area of a square, you use the formula:
Area = side × side.
Given that the side of the square is 4 cm:
- Area = 4 cm × 4 cm
- Area = 16 cm².
The area of the square is 16 cm².
Finding the Area of a Rectangle
For a rectangle, the area is calculated using the formula:
Area = length × breadth.
Let the length be 'l' and the breadth be 'b':
- Area = l × b.
New Rectangle Dimensions
If the length is doubled and the breadth is halved, the new dimensions become:
- New Length = 2l
- New Breadth = b/2.
The area of the new rectangle is:
- New Area = New Length × New Breadth
- New Area = (2l) × (b/2)
- New Area = l × b.
Comparison of Areas
Now, compare the areas of the original rectangle and the new rectangle:
- Original Area = l × b
- New Area = l × b.
Both areas are equal.
Conclusion
- The area of the original rectangle and the new rectangle is the same.
- There is no difference in the area; hence the difference is 0 cm².
In summary, when you manipulate the dimensions of a rectangle by doubling the length and halving the breadth, the area remains unchanged.
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Find the area of square of side 4 cm. If the side square. Find the area of rectangle of length / and breadth b. If length is doubled and breadth is halved find the area of the new rectangle formed . Are the two areas equal? and by how much??
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Find the area of square of side 4 cm. If the side square. Find the area of rectangle of length / and breadth b. If length is doubled and breadth is halved find the area of the new rectangle formed . Are the two areas equal? and by how much?? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about Find the area of square of side 4 cm. If the side square. Find the area of rectangle of length / and breadth b. If length is doubled and breadth is halved find the area of the new rectangle formed . Are the two areas equal? and by how much?? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the area of square of side 4 cm. If the side square. Find the area of rectangle of length / and breadth b. If length is doubled and breadth is halved find the area of the new rectangle formed . Are the two areas equal? and by how much??.
Find the area of square of side 4 cm. If the side square. Find the area of rectangle of length / and breadth b. If length is doubled and breadth is halved find the area of the new rectangle formed . Are the two areas equal? and by how much?? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about Find the area of square of side 4 cm. If the side square. Find the area of rectangle of length / and breadth b. If length is doubled and breadth is halved find the area of the new rectangle formed . Are the two areas equal? and by how much?? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the area of square of side 4 cm. If the side square. Find the area of rectangle of length / and breadth b. If length is doubled and breadth is halved find the area of the new rectangle formed . Are the two areas equal? and by how much??.
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