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Perimeter of rectangle and area of square
Perimeter of rectangle and area of square
Theory
Theory
Procedure
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Self Evaluation
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1)
What is the relationship between the perimeter and area of rectangles with the same perimeter?
The perimeter and area have a quadratic relationship.
The perimeter and area are inversely proportional.
The perimeter and area are unrelated.
The perimeter and area are directly proportional.
2)
If two rectangles have the same perimeter, what can be said about their areas?
The areas will always be different.
The areas will always be the same.
The areas may or may not be the same.
The areas will be inversely proportional.
3)
Which shape maximizes the area for a given perimeter in a 2D plane?
Pentagon
Circle
Triangle
Rectangle
4)
In a set of rectangles with the same perimeter, which rectangle will have the smallest area?
Square
Narrow and elongated rectangle
Equilateral rectangle
Short and wide rectangle
5)
Among all shapes with the same perimeter, which shape will have the largest area?
Square
Scalene triangle
Isosceles triangle
Equilateral triangle
6)
If two rectangles have different perimeters, can they have the same area?
No, it is not possible.
Yes, it is possible.
None of these
Both A and B
7)
Which shape has the largest area for a given perimeter in a 3D space?
Cube
Cone
Sphere
Cylinder
8)
Amongst all the rectangles of the same perimeter, which shape has the maximum area?
Trapezium
Rhombus
Square
Kite
9)
What is the formula to calculate the area of rectangle?
length - breadth
2 x (length+breadth)
length + breadth
4 x (length + breadth)
10)
Amongst all the rectangles of the same perimeter, the square has the ____ area.
Zero
Minimum
None of the above
Maximum