Mathematics Chapter 9: Area of Parallelogram

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What is the formula to find the area of a parallelogram?

Area = base × height (correct)

Area = 2 × (length + breadth)

Area = (base + height) / 2

Area = length × breadth

According to the given text, can a parallelogram be converted into a rectangle of equal area?

Only if the parallelogram is a square, it can be converted into a rectangle

It depends on the dimensions of the parallelogram

No, it is not possible to convert a parallelogram into a rectangle

Yes, a parallelogram can be converted into a rectangle of equal area (correct)

What are the length and breadth of the rectangle formed from a parallelogram?

Both are equal to the base of the parallelogram

Length is equal to the base and breadth is equal to the height of the parallelogram (correct)

Both are equal to the height of the parallelogram

Length is equal to the height and breadth is equal to the base of the parallelogram

What shape do you get when you move the triangle to the other side of the parallelogram?

Rectangle Signup and view all the answers

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 Signup and view all the answers

Which geometric shape has an area formula similar to that of a parallelogram?

Triangle Signup and view all the answers

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 Signup and view all the answers

What is required to find the area of a parallelogram?

Only the length and corresponding perpendicular height Signup and view all the answers

How does changing the base and height of a parallelogram affect its area?

Changing both the base and height affects the area Signup and view all the answers

What is true about the relationship between perimeter and area of parallelograms with different dimensions?

Parallelograms with equal area have different perimeters Signup and view all the answers

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 Signup and view all the answers

What happens to the area and perimeter when changing the dimensions of a parallelogram?

Area and perimeter change independently Signup and view all the answers

If the length and width of a parallelogram are doubled, what happens to its area?

Area becomes twice as large Signup and view all the answers

What can be said about parallelograms with equal areas but different perimeters?

They may have different bases, heights, or both Signup and view all the answers

If a parallelogram has a base of 6 units and an area of 30 sq units, what is its corresponding height?

$5$ units Signup and view all the answers

What can be concluded about changing only one dimension (either base or height) of a parallelogram?

Both area and perimeter remain unchanged Signup and view all the answers

Area of a parallelogram = ×

base \times height Signup and view all the answers

The length of the rectangle formed is equal to the ______ of the parallelogram

base Signup and view all the answers

The breadth of the rectangle formed is equal to the ______ of the parallelogram

height Signup and view all the answers

Area of parallelogram = Area of rectangle = \times

length \times breadth Signup and view all the answers

If you move the triangle to the other side of the parallelogram, you get a ______

rectangle Signup and view all the answers

The area of the parallelogram is equal to the area of the ______ formed

rectangle Signup and view all the answers

The perpendicular dropped on a side from the opposite vertex of a parallelogram is known as its ______

height Signup and view all the answers

The area of a parallelogram can be found using the formula: Area = base × ______

height Signup and view all the answers

All parallelograms with equal areas have different ______

perimeters Signup and view all the answers

Parallelograms with different areas may have equal ______

perimeters Signup and view all the answers

In a parallelogram, the sum of the areas of two congruent triangles is equal to the area of the ______

parallelogram Signup and view all the answers

The base and height of a triangle are the same as the base and height of the ______

parallelogram Signup and view all the answers

The formula to find the area of a parallelogram is given by: Area = base × ______

height Signup and view all the answers

The area of a parallelogram can be found by counting the ______ enclosed within the figure

squares Signup and view all the answers

To find the area of a parallelogram, you need to know the base and the corresponding ______ of the parallelogram

height Signup and view all the answers

The base and the height of a triangle are the same as the base and the height of the ______

parallelogram Signup and view all the answers

Mathematics Chapter 9: Area of Parallelogram

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Questions and Answers

What is the formula to find the area of a parallelogram?

According to the given text, can a parallelogram be converted into a rectangle of equal area?

What are the length and breadth of the rectangle formed from a parallelogram?

What shape do you get when you move the triangle to the other side of the parallelogram?

What is the relationship between the length and breadth of the rectangle and the base and height of the parallelogram?

Which geometric shape has an area formula similar to that of a parallelogram?

What is the relationship between the area of two congruent triangles and the area of the parallelogram formed by joining them?

What is required to find the area of a parallelogram?

How does changing the base and height of a parallelogram affect its area?

What is true about the relationship between perimeter and area of parallelograms with different dimensions?

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?

What happens to the area and perimeter when changing the dimensions of a parallelogram?

If the length and width of a parallelogram are doubled, what happens to its area?

What can be said about parallelograms with equal areas but different perimeters?

If a parallelogram has a base of 6 units and an area of 30 sq units, what is its corresponding height?

What can be concluded about changing only one dimension (either base or height) of a parallelogram?

Area of a parallelogram = ______ × ______

The length of the rectangle formed is equal to the ______ of the parallelogram

The breadth of the rectangle formed is equal to the ______ of the parallelogram

Area of parallelogram = Area of rectangle = ______ \times ______

If you move the triangle to the other side of the parallelogram, you get a ______

The area of the parallelogram is equal to the area of the ______ formed

The perpendicular dropped on a side from the opposite vertex of a parallelogram is known as its ______

The area of a parallelogram can be found using the formula: Area = base × ______

All parallelograms with equal areas have different ______

Parallelograms with different areas may have equal ______

In a parallelogram, the sum of the areas of two congruent triangles is equal to the area of the ______

The base and height of a triangle are the same as the base and height of the ______

The formula to find the area of a parallelogram is given by: Area = base × ______

The area of a parallelogram can be found by counting the ______ enclosed within the figure

To find the area of a parallelogram, you need to know the base and the corresponding ______ of the parallelogram

The base and the height of a triangle are the same as the base and the height of the ______

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Area of a parallelogram = ×

Area of parallelogram = Area of rectangle = \times