Class 9MathematicsAreas of Parallelograms and TrianglesMix Examples - Areas of Parallelograms and Triangles
MediumWrite True or False and justify your answer.
The base and the corresponding altitude of a parallelogram are $10 \text{ cm}$ and $3.5 \text{ cm}$,respectively. The area of the parallelogram is $30 \text{ cm}^2$.
The base and the corresponding altitude of a parallelogram are $10 \text{ cm}$ and $3.5 \text{ cm}$,respectively. The area of the parallelogram is $30 \text{ cm}^2$.
(B) The base of the parallelogram is $10 \text{ cm}$ and the corresponding altitude is $3.5 \text{ cm}$.
The area of a parallelogram is calculated using the formula: $\text{Area} = \text{base} \times \text{corresponding altitude}$.
Substituting the given values: $\text{Area} = 10 \text{ cm} \times 3.5 \text{ cm} = 35 \text{ cm}^2$.
Since the calculated area is $35 \text{ cm}^2$ and not $30 \text{ cm}^2$,the given statement is False.
The area of a parallelogram is calculated using the formula: $\text{Area} = \text{base} \times \text{corresponding altitude}$.
Substituting the given values: $\text{Area} = 10 \text{ cm} \times 3.5 \text{ cm} = 35 \text{ cm}^2$.
Since the calculated area is $35 \text{ cm}^2$ and not $30 \text{ cm}^2$,the given statement is False.
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$(1)$ If a planar region formed by a figure $T$ is made up of two non-overlapping planar regions formed by figures $P$ and $Q$,then $\operatorname{ar}(T) = \dots$
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