Class 9 Exam  >  Class 9 Notes  >  Extra Documents & Tests for Class 9  >  Procedure - Area of Trapezium is Equal to half the Product of its Altitude, Class 9 Math

Procedure - Area of Trapezium is Equal to half the Product of its Altitude, Class 9 Math | Extra Documents & Tests for Class 9 PDF Download

As performed in the real lab:

Materials Required:

Coloured paper, a pair of scissors, gum.

Procedure:

  1. Take two sheets of coloured paper.

  2. Cut two identical trapeziums ABCD and PQRS as shown in figure.

  3. Paste them together along PS with AD.

  4. It will forms parallelogram.

  5. Calculate area of trapezium.

Procedure - Area of Trapezium is Equal to half the Product of its Altitude, Class 9 Math | Extra Documents & Tests for Class 9

Procedure - Area of Trapezium is Equal to half the Product of its Altitude, Class 9 Math | Extra Documents & Tests for Class 9

As performed in the simulator:

  1. Create a Trapezium ABCD by providing length of 2 bases (parallel sides) and height

  2. Don't give both base value same otherwise it will form rectangle rather than Trapezium.

  3. Click on a Trapezium ABCD to create a Trapezium PQRS

  4. Click twice on PQRS to rotate PQRS in 180 degree.

  5. Drag trapezium PQRS and place at appropriate position such that it will forms a parallelogram.

  6. Place trapezium PQRS such that leg BC of trapezium ABCD will touch leg RQ of trapezium PQR.

Procedure - Area of Trapezium is Equal to half the Product of its Altitude, Class 9 Math | Extra Documents & Tests for Class 9

Observation:

1.Parallelogram ASPD is formed by combining two trapezium ABCD And BSPC.

2.Area of Trapezium ABCD = 1/2 X Area of parallelogram DASP
=1/2 X (DC+CP) X h
=1/2 X (b1 + b2) X h

Result:

The area of trapezium is half the product of its altitude and sum of its parallel sides.

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FAQs on Procedure - Area of Trapezium is Equal to half the Product of its Altitude, Class 9 Math - Extra Documents & Tests for Class 9

1. How do you calculate the area of a trapezium?
Ans. To calculate the area of a trapezium, you need to multiply the sum of the parallel sides (base1 and base2) by the altitude (height) and divide the result by 2. The formula for the area of a trapezium is: Area = (base1 + base2) x height / 2.
2. What is the altitude of a trapezium?
Ans. The altitude of a trapezium is the perpendicular distance between the two parallel sides (base1 and base2). It is also known as the height of the trapezium. The altitude is used in the formula to calculate the area of a trapezium.
3. Can you find the area of a trapezium without knowing the height?
Ans. No, you cannot find the area of a trapezium without knowing the height or altitude. The altitude is an essential parameter required to calculate the area of a trapezium. Without knowing the height, it is not possible to accurately determine the area of the trapezium.
4. Can the bases of a trapezium be of different lengths?
Ans. Yes, the bases of a trapezium can be of different lengths. In fact, that is one of the defining characteristics of a trapezium. Unlike a rectangle or a square, a trapezium has two parallel sides (bases) of different lengths.
5. Can you use the formula for the area of a trapezium to find the area of a triangle?
Ans. No, you cannot use the formula for the area of a trapezium to find the area of a triangle. The formula for the area of a trapezium involves both the bases and the height, whereas the formula for the area of a triangle only requires the base and the height. The two shapes have different formulas for calculating their areas.
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