When the 7 tangram pieces are rearranged into a rectangle, the total area remains 8 times the area of Shape C. The dimensions of the rectangle may differ from the square, but the pieces are the same, so their combined area does not change. Each piece (A, B, C, D, E, F, and G) retains its original coRead more
When the 7 tangram pieces are rearranged into a rectangle, the total area remains 8 times the area of Shape C. The dimensions of the rectangle may differ from the square, but the pieces are the same, so their combined area does not change. Each piece (A, B, C, D, E, F, and G) retains its original contribution to the total, maintaining the overall area as 8C. This is a basic principle of geometry, where area is conserved.
The perimeters of the square and the rectangle formed from the tangram pieces are different. While the total area of both shapes is identical (8C), the perimeter depends on the dimensions of the shape. A square has equal-length sides, minimizing its perimeter for a given area. However, when rearrangRead more
The perimeters of the square and the rectangle formed from the tangram pieces are different. While the total area of both shapes is identical (8C), the perimeter depends on the dimensions of the shape. A square has equal-length sides, minimizing its perimeter for a given area. However, when rearranged into a rectangle, the longer and shorter sides increase the perimeter. This highlights how the arrangement of the same area affects the overall boundary length.
Squares are ideal for measuring area as they perfectly cover a surface without leaving gaps or overlaps. Circles and other shapes often leave spaces when packed, leading to less accurate measurements. The uniformity of square units ensures consistency and simplicity in calculations, making them theRead more
Squares are ideal for measuring area as they perfectly cover a surface without leaving gaps or overlaps. Circles and other shapes often leave spaces when packed, leading to less accurate measurements. The uniformity of square units ensures consistency and simplicity in calculations, making them the most practical choice for measuring diverse shapes and areas accurately.
Given the area of 24 square units, the rectangle with dimensions 1 × 24 has the greatest perimeter of 50 units due to its elongated shape. Conversely, the rectangle with dimensions 4 × 6 has the least perimeter of 20 units, as it is closer to a square. Generally, compact shapes like squares minimizeRead more
Given the area of 24 square units, the rectangle with dimensions 1 × 24 has the greatest perimeter of 50 units due to its elongated shape. Conversely, the rectangle with dimensions 4 × 6 has the least perimeter of 20 units, as it is closer to a square. Generally, compact shapes like squares minimize perimeter for a given area, while elongated shapes maximize it.
For an area of 32 square cm, the rectangle with dimensions 1 × 32 has the greatest perimeter of 66 cm, while the one with 4 × 8 has the least perimeter of 24 cm. Compact shapes, such as squares or near-squares, minimize perimeter because the sides are balanced. Elongated shapes, with one very long aRead more
For an area of 32 square cm, the rectangle with dimensions 1 × 32 has the greatest perimeter of 66 cm, while the one with 4 × 8 has the least perimeter of 24 cm. Compact shapes, such as squares or near-squares, minimize perimeter because the sides are balanced. Elongated shapes, with one very long and one short side, maximize perimeter. Thus, the more balanced the dimensions, the smaller the perimeter for a fixed area.
Arrange these 7 pieces to form a rectangle. What will be the area of this rectangle in terms of the area of Shape C? Give reasons for your answer.
When the 7 tangram pieces are rearranged into a rectangle, the total area remains 8 times the area of Shape C. The dimensions of the rectangle may differ from the square, but the pieces are the same, so their combined area does not change. Each piece (A, B, C, D, E, F, and G) retains its original coRead more
When the 7 tangram pieces are rearranged into a rectangle, the total area remains 8 times the area of Shape C. The dimensions of the rectangle may differ from the square, but the pieces are the same, so their combined area does not change. Each piece (A, B, C, D, E, F, and G) retains its original contribution to the total, maintaining the overall area as 8C. This is a basic principle of geometry, where area is conserved.
For more NCERT Solutions for Class 6 Math Chapter 6 Perimeter and Area Extra Questions and Answer:
See lesshttps://www.tiwariacademy.com/ncert-solutions-class-6-maths-ganita-prakash-chapter-6/
Are the perimeters of the square and the rectangle formed from these 7 pieces different or the same? Give an explanation for your answer.
The perimeters of the square and the rectangle formed from the tangram pieces are different. While the total area of both shapes is identical (8C), the perimeter depends on the dimensions of the shape. A square has equal-length sides, minimizing its perimeter for a given area. However, when rearrangRead more
The perimeters of the square and the rectangle formed from the tangram pieces are different. While the total area of both shapes is identical (8C), the perimeter depends on the dimensions of the shape. A square has equal-length sides, minimizing its perimeter for a given area. However, when rearranged into a rectangle, the longer and shorter sides increase the perimeter. This highlights how the arrangement of the same area affects the overall boundary length.
For more NCERT Solutions for Class 6 Math Chapter 6 Perimeter and Area Extra Questions and Answer:
See lesshttps://www.tiwariacademy.com/ncert-solutions-class-6-maths-ganita-prakash-chapter-6/
Why is area generally measured using squares?
Squares are ideal for measuring area as they perfectly cover a surface without leaving gaps or overlaps. Circles and other shapes often leave spaces when packed, leading to less accurate measurements. The uniformity of square units ensures consistency and simplicity in calculations, making them theRead more
Squares are ideal for measuring area as they perfectly cover a surface without leaving gaps or overlaps. Circles and other shapes often leave spaces when packed, leading to less accurate measurements. The uniformity of square units ensures consistency and simplicity in calculations, making them the most practical choice for measuring diverse shapes and areas accurately.
For more NCERT Solutions for Class 6 Math Chapter 6 Perimeter and Area Extra Questions and Answer:
See lesshttps://www.tiwariacademy.com/ncert-solutions-class-6-maths-ganita-prakash-chapter-6/
Which rectangle has the greatest perimeter? b. Which rectangle has the least perimeter?
Given the area of 24 square units, the rectangle with dimensions 1 × 24 has the greatest perimeter of 50 units due to its elongated shape. Conversely, the rectangle with dimensions 4 × 6 has the least perimeter of 20 units, as it is closer to a square. Generally, compact shapes like squares minimizeRead more
Given the area of 24 square units, the rectangle with dimensions 1 × 24 has the greatest perimeter of 50 units due to its elongated shape. Conversely, the rectangle with dimensions 4 × 6 has the least perimeter of 20 units, as it is closer to a square. Generally, compact shapes like squares minimize perimeter for a given area, while elongated shapes maximize it.
For more NCERT Solutions for Class 6 Math Chapter 6 Perimeter and Area Extra Questions and Answer:
See lesshttps://www.tiwariacademy.com/ncert-solutions-class-6-maths-ganita-prakash-chapter-6/
If you take a rectangle of area 32 sq cm, what will your answers be? Given any area, is it possible to predict the shape of the rectangle with the greatest perimeter as well as the least perimeter? Give examples and reasons for your answer.
For an area of 32 square cm, the rectangle with dimensions 1 × 32 has the greatest perimeter of 66 cm, while the one with 4 × 8 has the least perimeter of 24 cm. Compact shapes, such as squares or near-squares, minimize perimeter because the sides are balanced. Elongated shapes, with one very long aRead more
For an area of 32 square cm, the rectangle with dimensions 1 × 32 has the greatest perimeter of 66 cm, while the one with 4 × 8 has the least perimeter of 24 cm. Compact shapes, such as squares or near-squares, minimize perimeter because the sides are balanced. Elongated shapes, with one very long and one short side, maximize perimeter. Thus, the more balanced the dimensions, the smaller the perimeter for a fixed area.
For more NCERT Solutions for Class 6 Math Chapter 6 Perimeter and Area Extra Questions and Answer:
See lesshttps://www.tiwariacademy.com/ncert-solutions-class-6-maths-ganita-prakash-chapter-6/