32 Questions
What is the formula to find the area of a parallelogram?
Area = base × height
According to the given text, can a parallelogram be converted into a rectangle of equal area?
Yes, a parallelogram can be converted into a rectangle of equal area
What are the length and breadth of the rectangle formed from a parallelogram?
Length is equal to the base and breadth is equal to the height of the parallelogram
What shape do you get when you move the triangle to the other side of the parallelogram?
Rectangle
What is the relationship between the length and breadth of the rectangle and the base and height of the parallelogram?
The length is equal to the base and breadth is equal to the height of the parallelogram
Which geometric shape has an area formula similar to that of a parallelogram?
Triangle
What is the relationship between the area of two congruent triangles and the area of the parallelogram formed by joining them?
The area of the parallelogram is equal to the sum of the areas of the two triangles
What is required to find the area of a parallelogram?
Only the length and corresponding perpendicular height
How does changing the base and height of a parallelogram affect its area?
Changing both the base and height affects the area
What is true about the relationship between perimeter and area of parallelograms with different dimensions?
Parallelograms with equal area have different perimeters
If a triangle is cut out from a parallelogram and another identical triangle is cut out, what shape do these two triangles form when joined together?
Parallelogram
What happens to the area and perimeter when changing the dimensions of a parallelogram?
Area and perimeter change independently
If the length and width of a parallelogram are doubled, what happens to its area?
Area becomes twice as large
What can be said about parallelograms with equal areas but different perimeters?
They may have different bases, heights, or both
If a parallelogram has a base of 6 units and an area of 30 sq units, what is its corresponding height?
$5$ units
What can be concluded about changing only one dimension (either base or height) of a parallelogram?
Both area and perimeter remain unchanged
Area of a parallelogram = ______ × ______
base \times height
The length of the rectangle formed is equal to the ______ of the parallelogram
base
The breadth of the rectangle formed is equal to the ______ of the parallelogram
height
Area of parallelogram = Area of rectangle = ______ \times ______
length \times breadth
If you move the triangle to the other side of the parallelogram, you get a ______
rectangle
The area of the parallelogram is equal to the area of the ______ formed
rectangle
The perpendicular dropped on a side from the opposite vertex of a parallelogram is known as its ______
height
The area of a parallelogram can be found using the formula: Area = base × ______
height
All parallelograms with equal areas have different ______
perimeters
Parallelograms with different areas may have equal ______
perimeters
In a parallelogram, the sum of the areas of two congruent triangles is equal to the area of the ______
parallelogram
The base and height of a triangle are the same as the base and height of the ______
parallelogram
The formula to find the area of a parallelogram is given by: Area = base × ______
height
The area of a parallelogram can be found by counting the ______ enclosed within the figure
squares
To find the area of a parallelogram, you need to know the base and the corresponding ______ of the parallelogram
height
The base and the height of a triangle are the same as the base and the height of the ______
parallelogram
Learn how to find the area of a parallelogram and understand the method to convert a parallelogram into a rectangle of equal area. This quiz covers the concepts and methods related to calculating the area of parallelograms.
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