The base and the corresponding altitude of a parallelogram are 10 cm and 3.5 cm, respectively. The area of the parallelogram is 30 cm². Is the given statement true or false and justify your answer.

Solution:

Given, the base of a parallelogram = 10 cm

Altitude = 3.5 cm

Area of parallelogram = 30 cm²

We have to determine if the given statement is true or false.

Area of parallelogram = base × height

= 10 × 3.5

= 35 cm²

Therefore, the given statement is false.

✦ Try This: Write True or False and justify your answer: The base and the corresponding altitude of a parallelogram are 10 cm and 4.2 cm, respectively. The area of the parallelogram is 40 cm².

Given, the base of a parallelogram = 10 cm

Altitude = 4.2 cm

Area of parallelogram = 40 cm²

We have to determine if the given statement is true or false.

Area of parallelogram = base × height

= 10 × 4.2

= 42 cm²

Therefore, the given statement is false.

☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 12

NCERT Exemplar Class 9 Maths Exercise 12.2 Problem 6

The base and the corresponding altitude of a parallelogram are 10 cm and 3.5 cm, respectively. The area of the parallelogram is 30 cm². Is the given statement true or false and justify your answer.

Summary:

The given statement “The base and the corresponding altitude of a parallelogram are 10 cm and 3.5 cm, respectively. The area of the parallelogram is 30 cm²” is false

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