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Theory - To show that the Area of Parallelogram is Product of its Base and Height, Class 9 Math PDF Download

Objective:

To show that the area of parallelogram is product of its base and height.

Theory:

A parallelogram is a simple quadrilateral with two pairs of parallel sides.

Theory - To show that the Area of Parallelogram is Product of its Base and Height, Class 9 Math

Properties:

  1. The opposite or facing sides of a parallelogram are of equal length.

  2. The opposite angles of a parallelogram are of equal measure.

  3. Opposite sides of a parallelogram are parallel (by definition) and so will never intersect.

  4. The area of a parallelogram is twice the area of a triangle created by one of its diagonals.

  5. Area of the parallelogram = base x height.

Example:

Theory - To show that the Area of Parallelogram is Product of its Base and Height, Class 9 Math
Find the area of parallelogram ABCD with base 24 m and height 17 m.

Solution :

 Area of the parallelogram = base x height = 24 X 17 =408
 ∴ The area of parallelogram ABCD is 408 m2

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FAQs on Theory - To show that the Area of Parallelogram is Product of its Base and Height, Class 9 Math

1. What is the formula for finding the area of a parallelogram?
Ans. The formula for finding the area of a parallelogram is base multiplied by height. It can be expressed as A = b * h, where A represents the area, b represents the base, and h represents the height.
2. How do you calculate the base of a parallelogram if the area and height are given?
Ans. To calculate the base of a parallelogram when the area and height are given, you can use the formula A = b * h. Rearrange the formula to solve for the base, which becomes b = A / h. Divide the area by the height to find the value of the base.
3. Is the height of a parallelogram always perpendicular to the base?
Ans. Yes, the height of a parallelogram is always perpendicular to the base. The height is the perpendicular distance between the base and its opposite side. It forms a right angle with the base, resulting in a perpendicular relationship.
4. Can we use the formula for finding the area of a parallelogram if the sides are not equal?
Ans. Yes, the formula for finding the area of a parallelogram, which is A = b * h, can be used regardless of whether the sides are equal or not. The area is determined by multiplying the base and height, irrespective of the length of the sides.
5. How is the area of a parallelogram related to the area of a rectangle?
Ans. The area of a parallelogram is equal to the area of a rectangle with the same base and height. This is because a parallelogram can be divided into two congruent triangles, which can then be rearranged to form a rectangle. Therefore, the area of a parallelogram and a rectangle with the same base and height is identical.
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